메뉴 건너뛰기




Volumn 127, Issue , 2017, Pages 1-405

Inverse problems for partial differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84973553839     PISSN: 00665452     EISSN: 2196968X     Source Type: Book Series    
DOI: None     Document Type: Chapter
Times cited : (369)

References (320)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for the solutions of elliptic differential equations satisfying general boundary values, I
    • Agmon, S., Douglis, A., Nirenberg, L. Estimates near the boundary for the solutions of elliptic differential equations satisfying general boundary values, I. Comm. Pure Appl. Math., 12 (1959), 623–727.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 3
    • 85067944029 scopus 로고    scopus 로고
    • Complex Analysis. McGraw-Hill, 1979
    • Ahlfors, L. Complex Analysis. McGraw-Hill, 1979.
    • Ahlfors, L.1
  • 5
    • 84972834699 scopus 로고
    • Stable Determination of Conductivity by Boundary Measurements
    • Alessandrini, G. Stable Determination of Conductivity by Boundary Measurements. Applic. Analysis, 27 (1988), 153–172.
    • (1988) Applic. Analysis , vol.27 , pp. 153-172
    • Alessandrini, G.1
  • 6
    • 0343945595 scopus 로고
    • Remark on a paper of Bellout and Friedman. Boll
    • Alessandrini, G. Remark on a paper of Bellout and Friedman. Boll. Unione Mat. Ital., (7) 3A (1989), 243–250.
    • (1989) Unione Mat. Ital., (7) , vol.3A , pp. 243-250
    • Alessandrini, G.1
  • 7
    • 0001666009 scopus 로고
    • Singular Solutions of Elliptic Equations and the Determination of Conductivity by Boundary Measurements
    • Alessandrini, G. Singular Solutions of Elliptic Equations and the Determination of Conductivity by Boundary Measurements. J. Diff. Equat., 84 (1990), 252–273.
    • (1990) J. Diff. Equat. , vol.84 , pp. 252-273
    • Alessandrini, G.1
  • 8
    • 0001464670 scopus 로고    scopus 로고
    • Examples of instability in inverse boundary value problems
    • Alessandrini, G. Examples of instability in inverse boundary value problems. Inverse Problems, 13 (1997), 887–897.
    • (1997) Inverse Problems , vol.13 , pp. 887-897
    • Alessandrini, G.1
  • 10
    • 33144457294 scopus 로고    scopus 로고
    • Stable determination of an inclusion by boundary measurements. SIAM J
    • [AC] Alessandrini, G., Di Cristo, M. Stable determination of an inclusion by boundary measurements. SIAM J. Math. Anal, 37 (2005), 200–217.
    • (2005) Math. Anal , vol.37 , pp. 200-217
    • Alessandrini, G.1    Di Cristo, M.2
  • 11
    • 0002126460 scopus 로고    scopus 로고
    • Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability
    • Alessandrini, G., DiBenedetto, E. Determining 2-dimensional cracks in 3-dimensional bodies: uniqueness and stability. Indiana Univ. Math. J., 46 (1997), 1–83.
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 1-83
    • Alessandrini, G.1    Dibenedetto, E.2
  • 12
    • 0001638402 scopus 로고
    • Local Uniqueness in the Inverse Conductivity Problem with One Measurement
    • Alessandrini, G., Isakov, V., Powell, J. Local Uniqueness in the Inverse Conductivity Problem with One Measurement. Trans. of AMS, 347 (1995), 3031–3041.
    • (1995) Trans. of AMS , vol.347 , pp. 3031-3041
    • Alessandrini, G.1    Isakov, V.2    Powell, J.3
  • 13
    • 0000453968 scopus 로고
    • The Index of Isolated Critical Points and Solutions of Elliptic Equations in the Plane
    • Alessandrini, G., Magnanini, R. The Index of Isolated Critical Points and Solutions of Elliptic Equations in the Plane. Ann. Sc., Norm. Pisa IV, 19 (1992), 567–591.
    • (1992) Ann. Sc., Norm. Pisa IV , vol.19 , pp. 567-591
    • Alessandrini, G.1    Magnanini, R.2
  • 14
    • 22844456697 scopus 로고    scopus 로고
    • Optimal size estimates for the inverse conductivity with one measurement
    • Alessandrini, G., Rosset, E., Seo, J.K. Optimal size estimates for the inverse conductivity with one measurement. Proc. AMS, 128 (1999), 53–64.
    • (1999) Proc. AMS , vol.128 , pp. 53-64
    • Alessandrini, G.1    Rosset, E.2    Seo, J.K.3
  • 15
    • 0030151922 scopus 로고    scopus 로고
    • Unique determination of multiple cracks by two measurements
    • Alessandrini, G., Valenzuela, A.D. Unique determination of multiple cracks by two measurements. SIAM J. Control Opt., 34 (1996), 913–921.
    • (1996) SIAM J. Control Opt. , vol.34 , pp. 913-921
    • Alessandrini, G.1    Valenzuela, A.D.2
  • 16
    • 0742289033 scopus 로고    scopus 로고
    • Remark on the strong unique continuation property for parabolic equations
    • Alessandrini, G., Vessella, S. Remark on the strong unique continuation property for parabolic equations. Proc. AMS, 132 (2003), 499–501.
    • (2003) Proc. AMS , vol.132 , pp. 499-501
    • Alessandrini, G.1    Vessella, S.2
  • 17
    • 51249166687 scopus 로고
    • A nonuniqueness result for operators of principal type
    • Alinhac, S., Baouendi, M.S. A nonuniqueness result for operators of principal type. Math. Zeit., 220 (1995), 561–568.
    • (1995) Math. Zeit. , vol.220 , pp. 561-568
    • Alinhac, S.1    Baouendi, M.S.2
  • 19
    • 0000614189 scopus 로고
    • Identification de fissures planes par une donn’ee de bord unique: Une procédé direct de localisation et d’identification
    • Andrieux, S., Ben Abda, A. Identification de fissures planes par une donn’ee de bord unique: une procédé direct de localisation et d’identification. C.R. Acad. Sc. Paris, t.315. ser. 1 (1992), 1323– 1328.
    • (1992) C.R. Acad. Sc. Paris, T.315. Ser. , vol.1 , pp. 1323-1328
    • Andrieux, S.1    Ben Abda, A.2
  • 20
    • 0042245448 scopus 로고
    • The solvability of a certain problem of integral geometry
    • Anikonov, Y.E. The solvability of a certain problem of integral geometry. Mat. Sb., 101 (1976), 271–279.
    • (1976) Mat. Sb. , vol.101 , pp. 271-279
    • Anikonov, Y.E.1
  • 21
    • 85067943958 scopus 로고
    • Multidimensional Inverse and Ill-Posed Problems for Differential Equations
    • Anikonov, Y.E. Multidimensional Inverse and Ill-Posed Problems for Differential Equations. VSP, Netherlands, 1995.
    • (1995) VSP, Netherlands
    • Anikonov, Y.E.1
  • 22
    • 0011033142 scopus 로고    scopus 로고
    • Two-dimensional tomography problems and the theory of A-analytic functions
    • Arbuzov, E.V., Bukhgeim, A.L., Kazantsev, S.G. Two-dimensional tomography problems and the theory of A-analytic functions. Siberian Adv. Math., 8 (1998), 1–20.
    • (1998) Siberian Adv. Math. , vol.8 , pp. 1-20
    • Arbuzov, E.V.1    Bukhgeim, A.L.2    Kazantsev, S.G.3
  • 24
    • 30444450433 scopus 로고    scopus 로고
    • Calderon’s inverse conductivity problem in the plane
    • Astala, K., Päivärinta, L. Calderon’s inverse conductivity problem in the plane. Ann. Math 163 (2006), 265–299.
    • (2006) Ann. Math , vol.163 , pp. 265-299
    • Astala, K.1    Päivärinta, L.2
  • 25
    • 17444429256 scopus 로고    scopus 로고
    • Calderon’s inverse problem for anisotropic conductivity in the plane. Comm. Part. Diff. Equat., 30 (2005), 207–224. [B] Bacchelli, V. Uniqueness for determination of unknown boundary and impedance with the homogeneous Robin condition
    • Astala, K., Lassas, M., Päivärinta, L. Calderon’s inverse problem for anisotropic conductivity in the plane. Comm. Part. Diff. Equat., 30 (2005), 207–224. [B] Bacchelli, V. Uniqueness for determination of unknown boundary and impedance with the homogeneous Robin condition. Inverse Problems, 25 (2009), 015004.
    • (2009) Inverse Problems , vol.25
    • Astala, K.1    Lassas, M.2    Päivärinta, L.3
  • 26
    • 70350320395 scopus 로고    scopus 로고
    • Inverse transport theory and applications
    • Bal, G. Inverse transport theory and applications. Inverse Problems, 25 (2009), 053001.
    • (2009) Inverse Problems , vol.25
    • Bal, G.1
  • 27
    • 80052174166 scopus 로고    scopus 로고
    • An inverse source problem with multiple frequency data
    • Bao, G., Lin, F., Triki, F. An inverse source problem with multiple frequency data. C. R. Acad. Sci. Paris, A 349 (2011), 855–859.
    • (2011) C. R. Acad. Sci. Paris, A , vol.349 , pp. 855-859
    • Bao, G.1    Lin, F.2    Triki, F.3
  • 28
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundaries
    • Bardos, C., Lebeau, G., Rauch, J. Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundaries. SIAM J. Control and Optimization, 30 (1992), 1024– 1065.
    • (1992) SIAM J. Control and Optimization , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 30
    • 30344461255 scopus 로고
    • Wave bases in multidimensional inverse problems
    • Belishev, M.I. Wave bases in multidimensional inverse problems. Math. USSR Sb., 67 (1990), 23–42.
    • (1990) Math. USSR Sb. , vol.67 , pp. 23-42
    • Belishev, M.I.1
  • 32
    • 41449092964 scopus 로고    scopus 로고
    • Recent progress in the boundary control method
    • Belishev, M.I. Recent progress in the boundary control method. Inverse Problems, 23 (2007), R1-R67.
    • (2007) Inverse Problems , vol.23 , pp. R1-R67
    • Belishev, M.I.1
  • 33
    • 1342288068 scopus 로고    scopus 로고
    • The Calderon problem for two-dimensional manifolds by the BC-method
    • Belishev. M.I. The Calderon problem for two-dimensional manifolds by the BC-method. SIAM J. Math. Anal., 35 (2003), 172– 183.
    • (2003) SIAM J. Math. Anal. , vol.35 , pp. 172-183
    • Belishev, M.I.1
  • 34
    • 4043101859 scopus 로고    scopus 로고
    • On the reconstruction of a metric from external electromagnetic measurements. Russ
    • Belishev, M., Isakov, V., Pestov, L., Sharafutdinov, V. On the reconstruction of a metric from external electromagnetic measurements. Russ. Dokl. Akad. Nauk, 372 (2000), 298–300.
    • (2000) Dokl. Akad. Nauk , vol.372 , pp. 298-300
    • Belishev, M.1    Isakov, V.2    Pestov, L.3    Sharafutdinov, V.4
  • 35
    • 84947680266 scopus 로고
    • To the reconstruction of a Riemannian manifold via its boundary spectral data (BC-method)
    • Belishev, M.I., Kurylev, Ya. To the reconstruction of a Riemannian manifold via its boundary spectral data (BC-method). Comm. Part. Diff. Equat., 17 (1992), 767–804.
    • (1992) Comm. Part. Diff. Equat. , vol.17 , pp. 767-804
    • Belishev, M.I.1    Kurylev, Y.2
  • 37
    • 0142024082 scopus 로고    scopus 로고
    • Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis
    • Beretta, E., Francini, E., Vogelius, M. Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis. J. Math. Pures Appl., 82 (2003), 1277–1301.
    • (2003) J. Math. Pures Appl. , vol.82 , pp. 1277-1301
    • Beretta, E.1    Francini, E.2    Vogelius, M.3
  • 38
    • 0002914078 scopus 로고
    • An Inverse Problem originating from magnetohy-drodynamics. II, Domain with arbitrary corners
    • Beretta, E., Vogelius, M. An Inverse Problem originating from magnetohy-drodynamics. II, Domain with arbitrary corners. Asymptotic Anal., 11 (1995), 289–315.
    • (1995) Asymptotic Anal , vol.11 , pp. 289-315
    • Beretta, E.1    Vogelius, M.2
  • 39
    • 84990556358 scopus 로고
    • The inversion problem and applications of the generalized Radon transform
    • Beylkin, G. The inversion problem and applications of the generalized Radon transform. Comm. Pure Appl. Math., 37 (1984), 580–599.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 580-599
    • Beylkin, G.1
  • 40
    • 84930956837 scopus 로고    scopus 로고
    • Stability and uniqueness for a two-dimensional inverse problem for less regular potentials
    • Blasten, E., Imanuvilov, O., Yamamoto, M. Stability and uniqueness for a two-dimensional inverse problem for less regular potentials. Inv. Probl. Imag., 9 (2015), 709–723.
    • (2015) Inv. Probl. Imag. , vol.9 , pp. 709-723
    • Blasten, E.1    Imanuvilov, O.2    Yamamoto, M.3
  • 41
    • 51249162436 scopus 로고
    • An example of non-uniqueness for a generalized Radon transform
    • Boman, J. An example of non-uniqueness for a generalized Radon transform. J. d’Analyse Math., 61 (1993), 395–401.
    • (1993) J. d’Analyse Math. , vol.61 , pp. 395-401
    • Boman, J.1
  • 42
    • 84867961903 scopus 로고    scopus 로고
    • Novikov’s Inversion Formula for the Attenuated Radon Transform-A New Approach
    • Boman, J., Strömberg, J.-O. Novikov’s Inversion Formula for the Attenuated Radon Transform-A New Approach. J. Geom. Anal., 14 (2004), 185–198.
    • (2004) J. Geom. Anal. , vol.14 , pp. 185-198
    • Boman, J.1    Strömberg, J.-O.2
  • 43
    • 0039489669 scopus 로고    scopus 로고
    • The structure of fundamental solution of the time-independent transport equation
    • Bondarenko, A. The structure of fundamental solution of the time-independent transport equation. J. Math. Anal. Appl., 221 (1998), 430–451.
    • (1998) J. Math. Anal. Appl. , vol.221 , pp. 430-451
    • Bondarenko, A.1
  • 45
    • 0005515888 scopus 로고
    • A remark on gradients of harmonic functions in dimension 3
    • Bourgain, J., Wolff, T. A remark on gradients of harmonic functions in dimension 3. Coll. Math. LX/LXI (1990), 253–260.
    • (1990) Coll. Math. LX/LXI , pp. 253-260
    • Bourgain, J.1    Wolff, T.2
  • 46
    • 0347813235 scopus 로고    scopus 로고
    • Effective behavior of clusters of microscopic cracks inside a homogeneous conductor
    • Bryan, K., Vogelius, M. Effective behavior of clusters of microscopic cracks inside a homogeneous conductor. Asympt. Anal., 16 (1998), 141–179.
    • (1998) Asympt. Anal. , vol.16 , pp. 141-179
    • Bryan, K.1    Vogelius, M.2
  • 48
    • 40449100443 scopus 로고    scopus 로고
    • Recovering a potential from Cauchy data in the two-dimensional case
    • Bukhgeim, A. L. Recovering a potential from Cauchy data in the two-dimensional case. J. Inverse Ill-Posed Probl., 16 (2008), 19– 33.
    • (2008) J. Inverse Ill-Posed Probl. , vol.16 , pp. 19-33
    • Bukhgeim, A.L.1
  • 49
    • 0000766304 scopus 로고
    • Uniqueness in the large of a class of multidimensional inverse problems
    • Bukhgeim, A.L., Klibanov, M.V. Uniqueness in the large of a class of multidimensional inverse problems. Soviet Math. Dokl. 24 (1981), 244–247.
    • (1981) Soviet Math. Dokl. , vol.24 , pp. 244-247
    • Bukhgeim, A.L.1    Klibanov, M.V.2
  • 50
    • 0036381894 scopus 로고    scopus 로고
    • Recovering a Potential from Partial Cauchy Data
    • Bukhgeim, A.L., Uhlmann, G. Recovering a Potential from Partial Cauchy Data, Comm. Part. Diff. Equat., 27 (2002), 653–668.
    • (2002) Comm. Part. Diff. Equat. , vol.27 , pp. 653-668
    • Bukhgeim, A.L.1    Uhlmann, G.2
  • 52
    • 0002850544 scopus 로고    scopus 로고
    • Uniqueness, stability, and numerical methods for the inverse problem that arises in financial markets
    • Bouchouev, I., Isakov, V. Uniqueness, stability, and numerical methods for the inverse problem that arises in financial markets. Inverse Problems, 15 (1999), R1–R22.
    • (1999) Inverse Problems , vol.15 , pp. R1-R22
    • Bouchouev, I.1    Isakov, V.2
  • 53
    • 85008814958 scopus 로고    scopus 로고
    • Recovery of volatility coefficient by linearization
    • Bouchouev, I., Isakov, V., Valdivia, N. Recovery of volatility coefficient by linearization. Quantit. Finance, 2 (2002), 257–263.
    • (2002) Quantit. Finance , vol.2 , pp. 257-263
    • Bouchouev, I.1    Isakov, V.2    Valdivia, N.3
  • 54
    • 0035665674 scopus 로고    scopus 로고
    • Identification of doping profiles in semiconductor devices
    • Burger, M., Engl, H.W., Markowich, P.A., Pietra, P. Identification of doping profiles in semiconductor devices. Inverse Problems, 17 (2001), 1765–1796.
    • (2001) Inverse Problems , vol.17 , pp. 1765-1796
    • Burger, M.1    Engl, H.W.2    Markowich, P.A.3    Pietra, P.4
  • 55
    • 23844524180 scopus 로고    scopus 로고
    • A survey on level set methods for inverse problems and optimal design
    • [BuO] Burger, M., Osher, S. A survey on level set methods for inverse problems and optimal design. Eur. J. Appl. Math., 16 (2005), 263–301
    • (2005) Eur. J. Appl. Math , vol.16 , pp. 263-301
    • Burger, M.1    Osher, S.2
  • 56
    • 0002713385 scopus 로고
    • On an inverse boundary value problem. “Seminar on numerical Analysis and Its Applications to Continuum Physics”
    • [C] Calderon, A.P. On an inverse boundary value problem. “Seminar on numerical Analysis and Its Applications to Continuum Physics”, Rio de Janeiro, 1980, 65–73.
    • (1980) Rio De Janeiro , pp. 65-73
    • Calderon, A.P.1
  • 57
    • 0002554964 scopus 로고    scopus 로고
    • Sur un probleme d’unicite pour les systemes d’equations aux derivees partielles a deux variables indepen-dentes
    • 26B (1939)
    • [Ca] Carleman, T. Sur un probleme d’unicite pour les systemes d’equations aux derivees partielles a deux variables indepen-dentes. Ark. Mat. Astr. Fys., 26B (1939), 1–9.
    • Ark. Mat. Astr. Fys. , pp. 1-9
    • Carleman, T.1
  • 58
    • 79957932121 scopus 로고    scopus 로고
    • On an inverse problem in electromagnetism with local data: Stability and uniqueness
    • Caro, P. On an inverse problem in electromagnetism with local data: stability and uniqueness Stability and uniqueness. Inv. Probl. Imag., 5 (2011), 297–322.
    • (2011) Stability and Uniqueness. Inv. Probl. Imag. , vol.5 , pp. 297-322
    • Caro, P.1
  • 59
    • 0035556015 scopus 로고    scopus 로고
    • A local inversion principle of the Nash-Moser type
    • Castro, A., Neuberger, J.W. A local inversion principle of the Nash-Moser type. SIAM J. Math. Anal., 33 (2001), 989–993.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 989-993
    • Castro, A.1    Neuberger, J.W.2
  • 61
    • 0002621641 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • Cheney, M., Isaacson, D., Newell, J.C. Electrical impedance tomography SIAM Rew., 41 (1999), 85–101.
    • (1999) SIAM Rew , vol.41 , pp. 85-101
    • Cheney, M.1    Isaacson, D.2    Newell, J.C.3
  • 62
    • 84949660592 scopus 로고    scopus 로고
    • Increasing stability in the inverse source prolem with many frequencies
    • Cheng, J., Isakov, V., Lu, S. Increasing stability in the inverse source prolem with many frequencies. J. Diff. Equat., 260 (2016), 4786–4804.
    • (2016) J. Diff. Equat. , vol.260 , pp. 4786-4804
    • Cheng, J.1    Isakov, V.2    Lu, S.3
  • 63
    • 0002430792 scopus 로고    scopus 로고
    • One new strategy for a-priori choice of regularizing parameters in Tikhonov’s regularization
    • Cheng, J., Yamamoto, M. One new strategy for a-priori choice of regularizing parameters in Tikhonov’s regularization Inverse Problems, 16 (2000), L31–L38.
    • (2000) Inverse Problems , vol.16 , pp. L31-L38
    • Cheng, J.1    Yamamoto, M.2
  • 64
    • 9744277451 scopus 로고    scopus 로고
    • Determination of two convection coefficients from Dirichlet-to Neumann map in two-dimensional case
    • Cheng, J., Yamamoto, M. Determination of two convection coefficients from Dirichlet-to Neumann map in two-dimensional case. SIAM J. Math. Anal, 35 (2003), 1371–1393.
    • (2003) SIAM J. Math. Anal , vol.35 , pp. 1371-1393
    • Cheng, J.1    Yamamoto, M.2
  • 65
    • 0346946893 scopus 로고    scopus 로고
    • Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves
    • Cheng, J., Yamamoto, M. Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves. Inverse Problems, 19 (2003), 1361–1385.
    • (2003) Inverse Problems , vol.19 , pp. 1361-1385
    • Cheng, J.1    Yamamoto, M.2
  • 66
    • 85067932956 scopus 로고    scopus 로고
    • Inverse logarithmic potential problem
    • Cherednichenko, V. Inverse logarithmic potential problem. VSP, 1996.
    • (1996) VSP
    • Cherednichenko, V.1
  • 67
    • 0039056186 scopus 로고    scopus 로고
    • Inverse scattering and inverse boundary value problems for the linear Boltzman equation
    • Choulli, M., Stefanov, P. Inverse scattering and inverse boundary value problems for the linear Boltzman equation. Comm. Part. Diff. Equat., 21 (1996), 763–785.
    • (1996) Comm. Part. Diff. Equat. , vol.21 , pp. 763-785
    • Choulli, M.1    Stefanov, P.2
  • 68
    • 0003188751 scopus 로고    scopus 로고
    • An inverse boundary value problem for the stationary transport equation
    • Choulli, M., Stefanov, P. An inverse boundary value problem for the stationary transport equation. Osaka J. Math., 36(1999), 87– 104.
    • (1999) Osaka J. Math. , vol.36 , pp. 87-104
    • Choulli, M.1    Stefanov, P.2
  • 71
    • 0347577839 scopus 로고    scopus 로고
    • The linear sampling method in inverse electromagnetic scattering theory
    • Colton, D., Haddar, H., Piana, M. The linear sampling method in inverse electromagnetic scattering theory. Inverse Problems, 19 (2003), S105–137.
    • (2003) Inverse Problems , vol.19 , pp. S105-S137
    • Colton, D.1    Haddar, H.2    Piana, M.3
  • 72
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • Colton, D., Kirsch, A. A simple method for solving inverse scattering problems in the resonance region. Inverse Problems, 12 (1996), 383–395.
    • (1996) Inverse Problems , vol.12 , pp. 383-395
    • Colton, D.1    Kirsch, A.2
  • 74
    • 0002283266 scopus 로고
    • The Uniqueness of a Solution to an Inverse Scattering problem for Electromagnetic Waves
    • Colton, D., Päivärinta, L. The Uniqueness of a Solution to an Inverse Scattering problem for Electromagnetic Waves. Arch. Rat. Mech. Anal., 119 (1992), 59–70.
    • (1992) Arch. Rat. Mech. Anal. , vol.119 , pp. 59-70
    • Colton, D.1    Päivärinta, L.2
  • 75
    • 0001069532 scopus 로고
    • Representation of a function by its line integrals, with some radiological applications
    • Cormack, A.M. Representation of a function by its line integrals, with some radiological applications. J. Appl. Phys., 34 (1963), 2722–2727.
    • (1963) J. Appl. Phys. , vol.34 , pp. 2722-2727
    • Cormack, A.M.1
  • 77
    • 0039690962 scopus 로고
    • Inverse Problems for electrical networks. World Scientific, 2000. [D] Deans, J. Gegenbauer transforms via the Radon Transform
    • Curtis, E., Morrow, J. Inverse Problems for electrical networks. World Scientific, 2000. [D] Deans, J. Gegenbauer transforms via the Radon Transform. SIAM J. Math. Anal., 10 (1979), 577–585.
    • (1979) SIAM J. Math. Anal. , vol.10 , pp. 577-585
    • Curtis, E.1    Morrow, J.2
  • 78
    • 0036110253 scopus 로고    scopus 로고
    • Microlocal analysis of seismic inverse scattering in anisotropic elastic media
    • DeHoop, M., Stolk, C.C. Microlocal analysis of seismic inverse scattering in anisotropic elastic media. Comm. Pure Appl. Math., 55 (2002), 261–301.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 261-301
    • Dehoop, M.1    Stolk, C.C.2
  • 79
    • 0038678004 scopus 로고    scopus 로고
    • The detection of surface vibrations from interior acoustic measurements
    • DeLillo, T., Isakov, V., Valdivia, N., Wang, L. The detection of surface vibrations from interior acoustic measurements. Inverse Problems, 19 (2003), 507–525.
    • (2003) Inverse Problems , vol.19 , pp. 507-525
    • Delillo, T.1    Isakov, V.2    Valdivia, N.3    Wang, L.4
  • 80
    • 84990553248 scopus 로고
    • Isospectral deformations, I. Riemann structures on two-step nil spaces
    • DeTurck, D., Gordon, C. Isospectral deformations, I. Riemann structures on two-step nil spaces. Comm. Pure Appl. Math., 40 (1987), 367–387.
    • (1987) Comm. Pure Appl. Math. , vol.40 , pp. 367-387
    • Deturck, D.1    Gordon, C.2
  • 81
    • 84990553477 scopus 로고
    • Isospectral deformations, II. Trace formulas, metrics, and potentials
    • DeTurck, D., Gordon, C. Isospectral deformations, II. Trace formulas, metrics, and potentials. Comm. Pure Appl. Math., 42 (1989), 1067–1095.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 1067-1095
    • Deturck, D.1    Gordon, C.2
  • 82
    • 1342329789 scopus 로고    scopus 로고
    • An inverse problem originating from magnetohydrodynamics
    • Demidov, A.S., Moussaoui, M. An inverse problem originating from magnetohydrodynamics. Inverse Problems, 20 (2004), 137– 154.
    • (2004) Inverse Problems , vol.20 , pp. 137-154
    • Demidov, A.S.1    Moussaoui, M.2
  • 83
    • 0038339458 scopus 로고    scopus 로고
    • Examples of exponential instability for inverse inclusion and scattering problems
    • Di Cristo, M., Rondi, L. Examples of exponential instability for inverse inclusion and scattering problems. Inverse Problems, 19 (2003), 685–701.
    • (2003) Inverse Problems , vol.19 , pp. 685-701
    • Di Cristo, M.1    Rondi, L.2
  • 84
    • 10844266646 scopus 로고
    • Stability of an inverse problem for the Helmholtz equation
    • Djatlov, G. Stability of an inverse problem for the Helmholtz equation. Sib. Math. J., 35 (1994), 583–601.
    • (1994) Sib. Math. J. , vol.35 , pp. 583-601
    • Djatlov, G.1
  • 85
    • 0028728116 scopus 로고
    • Resolution and stability analysis of an inverse problem in electrical impedance tomography
    • Dobson, D., Santosa, F. Resolution and stability analysis of an inverse problem in electrical impedance tomography. SIAM J. Appl. Math., 54 (1994), 1542–1560.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1542-1560
    • Dobson, D.1    Santosa, F.2
  • 86
    • 0000968544 scopus 로고
    • The Unique Solution of the Inverse Problem of Electrical Surveying and Electrical Well-Logging for Piecewise-Continuous Conductivity
    • Druskin, V. The Unique Solution of the Inverse Problem of Electrical Surveying and Electrical Well-Logging for Piecewise-Continuous Conductivity. Izvestiya, Earth Physics, 18 (1982), 51– 53.
    • (1982) Izvestiya, Earth Physics , vol.18 , pp. 51-53
    • Druskin, V.1
  • 87
    • 0032187601 scopus 로고    scopus 로고
    • On the uniqueness of inverse problems from incomplete boundary data
    • Druskin, V. On the uniqueness of inverse problems from incomplete boundary data. SIAM J. Appl. Math., 58 (1998), 1591–1603.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1591-1603
    • Druskin, V.1
  • 88
    • 0000252706 scopus 로고    scopus 로고
    • Gaussian spectral rules for the three-point second differences. I. A two-point positive definite problem in a semiinfinite domain
    • Druskin, V., Knizhnerman, L. Gaussian spectral rules for the three-point second differences. I. A two-point positive definite problem in a semiinfinite domain. SIAM J. Numer. Anal., 37 (2000), 403–422.
    • SIAM J. Numer. Anal. , vol.37 , Issue.2000 , pp. 403-422
    • Druskin, V.1    Knizhnerman, L.2
  • 89
    • 68349085585 scopus 로고    scopus 로고
    • Attenuated Radon transform and F. Joun’s equation I: Range conditions
    • Ehrenpreis, L., Kuchment, P., Panchenko, A. Attenuated Radon transform and F. Joun’s equation I: Range conditions. Contemp. Math. AMS, 251 (2000), 173–188.
    • (2000) Contemp. Math. AMS , vol.251 , pp. 173-188
    • Ehrenpreis, L.1    Kuchment, P.2    Panchenko, A.3
  • 91
    • 0031538944 scopus 로고    scopus 로고
    • On Uniqueness of Recovery of the Discontinuous Conductivity Coefficient of a Parabolic Equation
    • Elayyan, A., Isakov, V. On Uniqueness of Recovery of the Discontinuous Conductivity Coefficient of a Parabolic Equation. SIAM J. Math. Analysis, 28 (1997), 49–59.
    • (1997) SIAM J. Math. Analysis , vol.28 , pp. 49-59
    • Elayyan, A.1    Isakov, V.2
  • 92
    • 0031377924 scopus 로고    scopus 로고
    • On the Inverse Diffusion Problem
    • Elayyan, A., Isakov, V. On the Inverse Diffusion Problem. SIAM J. Appl. Math., 57 (1997), 1737–1748.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1737-1748
    • Elayyan, A.1    Isakov, V.2
  • 93
    • 0007511153 scopus 로고
    • On finding a surface crack from boundary measurements
    • Elcrat, A., Isakov, V., Neculoiu, O. On finding a surface crack from boundary measurements. Inverse Problems, 11 (1995), 343– 351.
    • (1995) Inverse Problems , vol.11 , pp. 343-351
    • Elcrat, A.1    Isakov, V.2    Neculoiu, O.3
  • 95
    • 10444237401 scopus 로고    scopus 로고
    • Identification of cracks in three-dimensional bodies by many boundary measurements
    • Eller, M. Identification of cracks in three-dimensional bodies by many boundary measurements. Inverse Problems, 12 (1996), 395– 408.
    • (1996) Inverse Problems , vol.12 , pp. 395-408
    • Eller, M.1
  • 96
    • 0042757401 scopus 로고    scopus 로고
    • Carleman estimates with two large parameters and applications
    • Eller, M., Isakov, V. Carleman estimates with two large parameters and applications. Contemp. Math., AMS, 268 (2000), 117– 137.
    • (2000) Contemp. Math., AMS , vol.268 , pp. 117-137
    • Eller, M.1    Isakov, V.2
  • 98
    • 0034668442 scopus 로고    scopus 로고
    • Simulteneous ex-act/approximate boundary controllability of thermoelastic plates with variable thermal coefficients and moment controls
    • Eller, M., Lasiecka, I., Triggiani, R. Simulteneous ex-act/approximate boundary controllability of thermoelastic plates with variable thermal coefficients and moment controls. J. Math. Anal. Appl., 251 (2000), 452–478.
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 452-478
    • Eller, M.1    Lasiecka, I.2    Triggiani, R.3
  • 99
    • 70450193186 scopus 로고    scopus 로고
    • Acoustic source identification using multiple frequency information
    • Eller, M., Valdivia, N. Acoustic source identification using multiple frequency information. Inverse Problems, 25 (2009), 115005.
    • (2009) Inverse Problems , vol.25
    • Eller, M.1    Valdivia, N.2
  • 101
    • 84971995987 scopus 로고
    • On the identifiability of steel reinforcement bars in concrete from magnostatic measurements
    • Engl, H.W., Isakov, V. On the identifiability of steel reinforcement bars in concrete from magnostatic measurements. Eur. J. Appl. Math., 3 (1992), 255–262.
    • (1992) Eur. J. Appl. Math. , vol.3 , pp. 255-262
    • Engl, H.W.1    Isakov, V.2
  • 102
    • 84880438084 scopus 로고
    • On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries
    • Escauriaza, L., Fabes, E., Verchota, G. On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries. Proc. AMS., 115 (1992), 1069–1076.
    • (1992) Proc. AMS. , vol.115 , pp. 1069-1076
    • Escauriaza, L.1    Fabes, E.2    Verchota, G.3
  • 103
    • 0035649639 scopus 로고    scopus 로고
    • Global Uniqueness in the Inverse Scattering Problem for the Sch¨rodinger Operator with External Yang-Mills Potentials
    • Eskin, G. Global Uniqueness in the Inverse Scattering Problem for the Sch¨rodinger Operator with External Yang-Mills Potentials. Comm. Math. Phys., 222 (2001), 503–531.
    • (2001) Comm. Math. Phys. , vol.222 , pp. 503-531
    • Eskin, G.1
  • 104
    • 0037278006 scopus 로고    scopus 로고
    • Inverse boundary value problems and the Aharonov-Bohm effect
    • Eskin, G. Inverse boundary value problems and the Aharonov-Bohm effect. Inverse Problems, 19 (2003), 49–63.
    • (2003) Inverse Problems , vol.19 , pp. 49-63
    • Eskin, G.1
  • 106
    • 0013199052 scopus 로고
    • Inverse Backscattering Problem in Three Dimensions
    • Eskin, G., Ralston, J. Inverse Backscattering Problem in Three Dimensions. Comm. Math. Phys., 124 (1989), 169–215.
    • (1989) Comm. Math. Phys. , vol.124 , pp. 169-215
    • Eskin, G.1    Ralston, J.2
  • 107
    • 34249929148 scopus 로고
    • Inverse Backscattering in Two Dimensions
    • Eskin, G., Ralston, J. Inverse Backscattering in Two Dimensions. Comm. Math. Phys., 138 (1991), 451–486.
    • (1991) Comm. Math. Phys. , vol.138 , pp. 451-486
    • Eskin, G.1    Ralston, J.2
  • 108
    • 0036608345 scopus 로고    scopus 로고
    • On the inverse boundary value problem for linear isotropic elasticity. Inverse Problems, 18 (2002), 907–923
    • [EsR4] Eskin, G., Ralston, J. On the inverse boundary value problem for linear isotropic elasticity. Inverse Problems, 18 (2002), 907–923.
    • Eskin, G.1    Ralston, J.2
  • 109
    • 0001649173 scopus 로고    scopus 로고
    • The inverse problem in the quantum theory of scattering, II. J. Soviet Math., 5 (1976), #3, Consultants Bureau, New York, 1976, 334–396
    • [F] Faddeev, L.D. The inverse problem in the quantum theory of scattering, II. J. Soviet Math., 5 (1976), #3, Consultants Bureau, New York, 1976, 334–396.
    • Faddeev, L.D.1
  • 110
    • 0141637136 scopus 로고    scopus 로고
    • Unique continuation for Parabolic Operators. II Comm. Part Diff. Equat, 28 (2003), 1597–1604
    • [Fe] Fernandez, F. J. Unique continuation for Parabolic Operators. II Comm. Part Diff. Equat, 28 (2003), 1597–1604.
    • Fernandez, F.J.1
  • 111
    • 73849091571 scopus 로고    scopus 로고
    • On the linearised local Calderon problem. Math. Res. Lett., 16 (2009), 955–970
    • [FKSU] Ferreira dos Santos, D., Kenig, C., Sjöstrand, Uhlmann, G. On the linearised local Calderon problem. Math. Res. Lett., 16 (2009), 955–970
    • Ferreira Dos Santos, D.1    Kenig, C.2    Sjöstrand, U.3
  • 112
    • 85067934741 scopus 로고    scopus 로고
    • Partial Differential Equations of Parabolic Type. Prentice-Hall, 1964
    • [Fr] Friedman, A. Partial Differential Equations of Parabolic Type. Prentice-Hall, 1964.
    • Friedman, A.1
  • 113
    • 85067990262 scopus 로고    scopus 로고
    • On the Uniqueness in the Inverse Conductivity Problem with one Measurement. Indiana Univ. Math. J., 38 (1989), 553–580
    • [FI] Friedman, A., Isakov, V. On the Uniqueness in the Inverse Conductivity Problem with one Measurement. Indiana Univ. Math. J., 38 (1989), 553–580.
    • Friedman, A.1    Isakov, V.2
  • 114
    • 0000335616 scopus 로고
    • Determining Cracks by Boundary Measurements
    • Friedman, A., Vogelius, M. Determining Cracks by Boundary Measurements. Indiana Univ. Math. J., 38 (1989), 497–525.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 497-525
    • Friedman, A.1    Vogelius, M.2
  • 115
    • 84980082640 scopus 로고
    • Symmetric Positive Linear Differential Equations
    • Friedrichs, K.O. Symmetric Positive Linear Differential Equations. Comm. Pure Appl. Math., 11 (1958), 333–418.
    • (1958) Comm. Pure Appl. Math. , vol.11 , pp. 333-418
    • Friedrichs, K.O.1
  • 116
    • 4544318973 scopus 로고
    • Zur Regularizierung einer Klasse nichtkorrecter Probleme bei Evolutionsgleichungen
    • Gajevski, H., Zacharias, K. Zur Regularizierung einer Klasse nichtkorrecter Probleme bei Evolutionsgleichungen. J. Math. Anal. Appl., 38 (1972), 784–789.
    • (1972) J. Math. Anal. Appl. , vol.38 , pp. 784-789
    • Gajevski, H.1    Zacharias, K.2
  • 119
    • 84967791504 scopus 로고
    • One cannot hear the shape of adrum
    • Gordon, C., Webb, D., Wolpert, S. One cannot hear the shape of adrum.Bull. of AMS, 27 (1992), 134–138..
    • (1992) Bull. of AMS , vol.27 , pp. 134-138
    • Gordon, C.1    Webb, D.2    Wolpert, S.3
  • 121
    • 33846846460 scopus 로고
    • Convergence to a Stationary State and Stability for Solutions of Quasilinear Parabolic Equations
    • Guidetti, D. Convergence to a Stationary State and Stability for Solutions of Quasilinear Parabolic Equations. Ann. Mat. Pure Appl., CLI (1988), 331–358.
    • (1988) Ann. Mat. Pure Appl., CLI , pp. 331-358
    • Guidetti, D.1
  • 122
    • 84968492831 scopus 로고
    • Inverse spectral results on two-dimensional tori
    • Guillemin, V. Inverse spectral results on two-dimensional tori. J. of AMS, 3 (1990), 375–387.
    • (1990) J. of AMS , vol.3 , pp. 375-387
    • Guillemin, V.1
  • 124
    • 84877052307 scopus 로고    scopus 로고
    • Uniqueness in the Calderon’s problem with Lipschitz conductivities
    • Habermann, B., Tataru, D. Uniqueness in the Calderon’s problem with Lipschitz conductivities. Duke Math. J., 162 (2013), 496– 516.
    • (2013) Duke Math. J. , vol.162 , pp. 496-516
    • Habermann, B.1    Tataru, D.2
  • 125
    • 0030578123 scopus 로고    scopus 로고
    • A periodic Faddeev-type solution operator
    • Hähner, P. A periodic Faddeev-type solution operator. J. Diff. Equat., 128 (1996), 300–308.
    • (1996) J. Diff. Equat. , vol.128 , pp. 300-308
    • Hähner, P.1
  • 126
    • 0036344541 scopus 로고    scopus 로고
    • New stability estimates for the inverse acoustic inhomogeneous medium problem and applications
    • Hähner, P., Hohage, T. New stability estimates for the inverse acoustic inhomogeneous medium problem and applications. SIAM J. Math. Anal., 62 (2001), 670–685.
    • (2001) SIAM J. Math. Anal. , vol.62 , pp. 670-685
    • Hähner, P.1    Hohage, T.2
  • 127
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • Hamilton, R. The inverse function theorem of Nash and Moser. Bull. AMS, 7 (1982), 65–222.
    • (1982) Bull. AMS , vol.7 , pp. 65-222
    • Hamilton, R.1
  • 128
    • 0007227560 scopus 로고
    • A multidimensional inverse problem in quantum and acoustic scattering
    • Henkin, G.M., Novikov, R.G. A multidimensional inverse problem in quantum and acoustic scattering. Inverse problems, 4 (1988), 103–121.
    • (1988) Inverse Problems , vol.4 , pp. 103-121
    • Henkin, G.M.1    Novikov, R.G.2
  • 130
    • 0000670255 scopus 로고    scopus 로고
    • Logarithmic convergence rates of the iteratively regularized Gauss-Newton Method for an inverse potential and inverse scattering problem
    • Hohage, T. Logarithmic convergence rates of the iteratively regularized Gauss-Newton Method for an inverse potential and inverse scattering problem. Inverse Problems, 13 (1997), 1279–1299.
    • (1997) Inverse Problems , vol.13 , pp. 1279-1299
    • Hohage, T.1
  • 133
    • 3042528735 scopus 로고    scopus 로고
    • Increased stability in the continuation of solutions of the Helmholtz equation
    • Hrycak, T., Isakov, V. Increased stability in the continuation of solutions of the Helmholtz equation. Inverse Problems, 20 (2004), 697–712.
    • (2004) Inverse Problems , vol.20 , pp. 697-712
    • Hrycak, T.1    Isakov, V.2
  • 134
    • 0007267567 scopus 로고    scopus 로고
    • Reconstruction of shape of inclusion by boundary measurements
    • Ikehata, M. Reconstruction of shape of inclusion by boundary measurements. Comm. Part. Diff. Equat. 23 (1998), 1459–1474.
    • (1998) Comm. Part. Diff. Equat. , vol.23 , pp. 1459-1474
    • Ikehata, M.1
  • 135
    • 0036975369 scopus 로고    scopus 로고
    • On Carleman estimates for hyperbolic equations
    • Imanuvilov, O. On Carleman estimates for hyperbolic equations. Asympt. Anal., 32 (2002), 185–220.
    • (2002) Asympt. Anal. , vol.32 , pp. 185-220
    • Imanuvilov, O.1
  • 136
    • 0037801616 scopus 로고    scopus 로고
    • Lipschitz stability in inverse parabolic problems by Carleman estimate
    • Imanuvilov, O., Yamamoto, M. Lipschitz stability in inverse parabolic problems by Carleman estimate. Inverse Problems, 14 (1998), 1229–1247.
    • (1998) Inverse Problems , vol.14 , pp. 1229-1247
    • Imanuvilov, O.1    Yamamoto, M.2
  • 137
    • 0000085334 scopus 로고    scopus 로고
    • Global uniqueness and stability in determining coefficients of wave equations
    • Imanuvilov, O., Yamamoto, M. Global uniqueness and stability in determining coefficients of wave equations. Comm. Part. Diff. Equat., 26 (2001), 1409–1425.
    • (2001) Comm. Part. Diff. Equat. , vol.26 , pp. 1409-1425
    • Imanuvilov, O.1    Yamamoto, M.2
  • 138
    • 0037272324 scopus 로고    scopus 로고
    • Determination of a coefficient in an acoustic equation with a single measurement
    • Imanuvilov, O., Yamamoto, M. Determination of a coefficient in an acoustic equation with a single measurement. Inverse Problems, 19 (2003), 157–173.
    • (2003) Inverse Problems , vol.19 , pp. 157-173
    • Imanuvilov, O.1    Yamamoto, M.2
  • 139
    • 84876519941 scopus 로고    scopus 로고
    • Inverse boundary value problems for the Schrödinger equation in a cylindrical domain by partial data
    • Imanuvilov, O., Yamamoto, M. Inverse boundary value problems for the Schrödinger equation in a cylindrical domain by partial data. Inverse Problems, 28 (2013), 045002.
    • (2013) Inverse Problems , vol.28
    • Imanuvilov, O.1    Yamamoto, M.2
  • 140
    • 84888290665 scopus 로고    scopus 로고
    • Uniqueness for Boundary Value Problems by Dirichlet-to Neumann Map on Subboundaries
    • Imanuvilov, O., Yamamoto, M. Uniqueness for Boundary Value Problems by Dirichlet-to Neumann Map on Subboundaries. Milan J. Math., 81 (2013), 187–258.
    • (2013) Milan J. Math. , vol.81 , pp. 187-258
    • Imanuvilov, O.1    Yamamoto, M.2
  • 141
    • 0041841295 scopus 로고    scopus 로고
    • An inverse problem for the dynamical Lame system with two sets of boundary data
    • Imanuvilov, O., Isakov, V., Yamamoto, M. An inverse problem for the dynamical Lame system with two sets of boundary data. Comm. Pure Appl. Math., 56 (2003), 1366–1382.
    • (2003) Comm. Pure Appl. Math. , vol.56 , pp. 1366-1382
    • Imanuvilov, O.1    Isakov, V.2    Yamamoto, M.3
  • 142
    • 85067926829 scopus 로고    scopus 로고
    • Yamamoto, M., editors. Chapman and Hall/CRC
    • Inverse problems and related topics. Nakamura, G., Saitoh, S., Seo, J.-K., Yamamoto, M., editors. Chapman and Hall/CRC, 2000.
    • (2000) J.-K.
  • 143
    • 85067962449 scopus 로고    scopus 로고
    • Cambridge Univ
    • Inside Out, Inverse Problems and Applications Uhlmann, G., editor. MSRI Publications, 47. Cambridge Univ. Press, 2003.
    • (2003) Press
  • 144
    • 85067988341 scopus 로고    scopus 로고
    • Theory and Applications Alessandrini, G., Uhlmann, G., editors. Contemp
    • AMS, Providence, RI
    • Inverse Problems: Theory and Applications Alessandrini, G., Uhlmann, G., editors. Contemp. Math., 333, AMS, Providence, RI, 2003.
    • (2003) Math. , vol.333
  • 145
    • 84990578241 scopus 로고
    • A Nonhyperbolic Cauchy Problem for ✷✷ and its Applications to Elasticity Theory
    • c and its Applications to Elasticity Theory. Comm. Pure Appl. Math. 39 (1986), 474–769.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 474-769
    • Isakov, V.1
  • 146
    • 0039723945 scopus 로고
    • Uniqueness of continuation across a time-like hy-perplane and related inverse problems for hyperbolic equations
    • Isakov, V. Uniqueness of continuation across a time-like hy-perplane and related inverse problems for hyperbolic equations. Comm. Part. Diff. Equat. 14 (1989), 465–478.
    • (1989) Comm. Part. Diff. Equat. , vol.14 , pp. 465-478
    • Isakov, V.1
  • 147
    • 84990557331 scopus 로고
    • On uniqueness of recovery of a discontinuous conductivity coefficient
    • Isakov, V. On uniqueness of recovery of a discontinuous conductivity coefficient. Comm. Pure Appl. Math. 41 (1988), 865–877.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 865-877
    • Isakov, V.1
  • 149
    • 0001534201 scopus 로고
    • On uniqueness in the inverse scattering problem
    • Isakov, V. On uniqueness in the inverse scattering problem. Comm. Part. Diff. Equat. 15 (1990), 1565–1581.
    • (1990) Comm. Part. Diff. Equat. , vol.15 , pp. 1565-1581
    • Isakov, V.1
  • 150
    • 84990613805 scopus 로고
    • Inverse Parabolic Problems with the Final Overdetermination
    • Isakov, V. Inverse Parabolic Problems with the Final Overdetermination. Comm. Pure Appl. Math., 54 (1991), 185–209.
    • (1991) Comm. Pure Appl. Math. , vol.54 , pp. 185-209
    • Isakov, V.1
  • 151
    • 0000058762 scopus 로고
    • Completeness of products of solutions and some inverse problems for PDE
    • Isakov, V. Completeness of products of solutions and some inverse problems for PDE. J. Diff. Equat., 92 (1991), 305–317.
    • (1991) J. Diff. Equat. , vol.92 , pp. 305-317
    • Isakov, V.1
  • 152
    • 0003038831 scopus 로고
    • Stability estimates for obstacles in inverse scattering
    • Isakov, V. Stability estimates for obstacles in inverse scattering. J. Comp. Appl. Math., 42 (1991), 79–89.
    • (1991) J. Comp. Appl. Math. , vol.42 , pp. 79-89
    • Isakov, V.1
  • 153
    • 0000522083 scopus 로고
    • New stability results for soft obstacles in inverse scattering
    • Isakov, V. New stability results for soft obstacles in inverse scattering. Inverse Problems, 9 (1993), 535–543.
    • (1993) Inverse Problems , vol.9 , pp. 535-543
    • Isakov, V.1
  • 154
    • 21344499312 scopus 로고
    • On uniqueness in inverse problems for semi linear parabolic equations
    • Isakov, V. On uniqueness in inverse problems for semi linear parabolic equations. Arch. Rat. Mech. Anal., 124 (1993), 1–13.
    • (1993) Arch. Rat. Mech. Anal. , vol.124 , pp. 1-13
    • Isakov, V.1
  • 155
    • 33645203873 scopus 로고    scopus 로고
    • On uniqueness for a discontinuity surface of a speed of propagation
    • Isakov, V. On uniqueness for a discontinuity surface of a speed of propagation. J. Inverse Ill-Posed Problems, 3 (1996) 33–38.
    • (1996) J. Inverse Ill-Posed Problems , vol.3 , pp. 33-38
    • Isakov, V.1
  • 156
    • 38249000245 scopus 로고
    • Carleman Type Estimates in an Anisotropic Case and Applications
    • Isakov, V. Carleman Type Estimates in an Anisotropic Case and Applications. J. Diff. Equat., 105 (1993), 217–239.
    • (1993) J. Diff. Equat. , vol.105 , pp. 217-239
    • Isakov, V.1
  • 157
    • 0031562009 scopus 로고    scopus 로고
    • On uniqueness in a lateral Cauchy Problem with multiple characteristics
    • Isakov, V. On uniqueness in a lateral Cauchy Problem with multiple characteristics. J. Diff. Equat., 133 (1997), 134–147.
    • (1997) J. Diff. Equat. , vol.133 , pp. 134-147
    • Isakov, V.1
  • 158
    • 0036344539 scopus 로고    scopus 로고
    • On the uniqueness of the continuation for a thermoelasticity system
    • Isakov, V. On the uniqueness of the continuation for a thermoelasticity system. SIAM J. Math. Anal., 33 (2001), 509–522.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 509-522
    • Isakov, V.1
  • 159
    • 21544465323 scopus 로고    scopus 로고
    • Uniqueness of recovery of some quasilinear partial differential equations
    • Isakov, V. Uniqueness of recovery of some quasilinear partial differential equations. Comm. Part. Diff. Equat., 26 (2001), 1947– 1973.
    • (2001) Comm. Part. Diff. Equat. , vol.26 , pp. 1947-1973
    • Isakov, V.1
  • 160
    • 84908215702 scopus 로고    scopus 로고
    • On uniqueness in the inverse conductivity problem with local data
    • Isakov, V. On uniqueness in the inverse conductivity problem with local data. Inv. Prob. Imag., 1 (2007), 95–105.
    • (2007) Inv. Prob. Imag. , vol.1 , pp. 95-105
    • Isakov, V.1
  • 161
    • 34548693219 scopus 로고    scopus 로고
    • Increased stability in the continuation for the Helmholtz equation with variable coefficient
    • Isakov, V. Increased stability in the continuation for the Helmholtz equation with variable coefficient. Contemp. Math. AMS, 426 (2007), 255–269.
    • (2007) Contemp. Math. AMS , vol.426 , pp. 255-269
    • Isakov, V.1
  • 162
    • 43149114200 scopus 로고    scopus 로고
    • Uniqueness of domains and general transmission conditions in inverse scattering
    • Isakov, V. Uniqueness of domains and general transmission conditions in inverse scattering. Comm. Math. Phys., 280 (2008), 843–858.
    • (2008) Comm. Math. Phys. , vol.280 , pp. 843-858
    • Isakov, V.1
  • 163
    • 80755150615 scopus 로고    scopus 로고
    • Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map
    • Isakov, V. Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map. Discr. Cont. Dyn. Syst., S, 4 (2011), 631–641.
    • (2011) Discr. Cont. Dyn. Syst , vol.4 , pp. 631-641
    • Isakov, V.1
  • 164
    • 84956956761 scopus 로고    scopus 로고
    • Carleman estimates for some anisotropic elasticity systems and applications
    • Isakov, V. Carleman estimates for some anisotropic elasticity systems and applications. Evol. Equat. Control Theory, 1 (2012), 141–154.
    • (2012) Evol. Equat. Control Theory , vol.1 , pp. 141-154
    • Isakov, V.1
  • 165
    • 84952921505 scopus 로고    scopus 로고
    • Recovery of time dependent volatility coefficient by linearisation
    • Isakov, V. Recovery of time dependent volatility coefficient by linearisation. Evol. Equat. Control Theory, 3 (2014), 119–134.
    • (2014) Evol. Equat. Control Theory , vol.3 , pp. 119-134
    • Isakov, V.1
  • 166
    • 85067967118 scopus 로고    scopus 로고
    • Increasing stability for near field from scattering amplitude
    • Isakov, V. Increasing stability for near field from scattering amplitude. Contemp. Math. AMS, 640 (2015), 59–70.
    • (2015) Contemp. Math. AMS , vol.640 , pp. 59-70
    • Isakov, V.1
  • 167
    • 85009923612 scopus 로고    scopus 로고
    • Carleman estimates with two large parameters for an anisotropic system of elasticity
    • Isakov, V. Carleman estimates with two large parameters for an anisotropic system of elasticity. Rend.Ist.Mat.Univ.Trieste,48 (2016), 261–283.
    • (2016) Rend.Ist.Mat.Univ.Trieste , vol.48 , pp. 261-283
    • Isakov, V.1
  • 168
    • 84872006751 scopus 로고    scopus 로고
    • Subspaces of stability in the Cauchy problem for the Helmholtz equation
    • Isakov, V., Kindermann, S. Subspaces of stability in the Cauchy problem for the Helmholtz equation. Meth. Appl. Anal., 18 (2011), 1–30.
    • (2011) Meth. Appl. Anal. , vol.18 , pp. 1-30
    • Isakov, V.1    Kindermann, S.2
  • 169
    • 77953298679 scopus 로고    scopus 로고
    • Weak Carleman estimates with two large parameters for second order equations and applications
    • Isakov, V., Kim, N. Weak Carleman estimates with two large parameters for second order equations and applications. Discr. Cont. Dyn. Syst.,A, 27 (2010), 799–827.
    • (2010) Discr. Cont. Dyn. Syst.,A , vol.27 , pp. 799-827
    • Isakov, V.1    Kim, N.2
  • 170
    • 84960089351 scopus 로고    scopus 로고
    • Increasing stability for the Conductivity and Attenuation Coefficients
    • Isakov, V., Lai, R.-Y., Wang, J.-N. Increasing stability for the Conductivity and Attenuation Coefficients. SIAM J. Math. Anal, 48 (2016), 569–594.
    • (2016) SIAM J. Math. Anal , vol.48 , pp. 569-594
    • Isakov, V.1    Lai, R.-Y.2    Wang, J.-N.3
  • 171
    • 84878050730 scopus 로고    scopus 로고
    • A three-dimensional inverse gravimetry problem for ice with snow caps
    • Isakov, V., Leung, S., Qian, J. A three-dimensional inverse gravimetry problem for ice with snow caps. Inv. Probl. Imag., 7 (2013), 523–545.
    • (2013) Inv. Probl. Imag. , vol.7 , pp. 523-545
    • Isakov, V.1    Leung, S.2    Qian, J.3
  • 172
    • 84866556153 scopus 로고    scopus 로고
    • On the inverse doping profile problem
    • Isakov, V., Myers, J. On the inverse doping profile problem. Inv. Probl. Imag, 6 (2012), 465–486.
    • (2012) Inv. Probl. Imag , vol.6 , pp. 465-486
    • Isakov, V.1    Myers, J.2
  • 173
    • 0001311566 scopus 로고
    • Global Uniqueness for a two-dimensional elliptic inverse problem
    • Isakov, V., Nachman, A. Global Uniqueness for a two-dimensional elliptic inverse problem. Trans. AMS, 347 (1995), 3375–3391.
    • (1995) Trans. AMS , vol.347 , pp. 3375-3391
    • Isakov, V.1    Nachman, A.2
  • 174
    • 0000838061 scopus 로고
    • On inverse conductivity problem with one measurement
    • Isakov, V., Powell, J. On inverse conductivity problem with one measurement. Inverse Problems, 6 (1990), 311–318.
    • (1990) Inverse Problems , vol.6 , pp. 311-318
    • Isakov, V.1    Powell, J.2
  • 175
    • 36149029884 scopus 로고
    • Stability estimates for hyperbolic inverse problems with local boundary data
    • Isakov, V., Sun, Z. Stability estimates for hyperbolic inverse problems with local boundary data. Inverse Problems, 8 (1992), 193– 206.
    • (1992) Inverse Problems , vol.8 , pp. 193-206
    • Isakov, V.1    Sun, Z.2
  • 176
    • 84990587399 scopus 로고
    • Global uniqueness for a semi linear elliptic inverse problem
    • Isakov, V., Sylvester, J. Global uniqueness for a semi linear elliptic inverse problem. Comm. Pure Appl. Math., 47 (1994), 1403–1410.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 1403-1410
    • Isakov, V.1    Sylvester, J.2
  • 177
    • 34249094300 scopus 로고    scopus 로고
    • Uniqueness and stability of determining the residual stress by one measurement
    • Isakov, V., Yamamoto, M., Wang, J.-N. Uniqueness and stability of determining the residual stress by one measurement. Comm. Part. Diff. Equat., 32 (2007), 833–848.
    • (2007) Comm. Part. Diff. Equat. , vol.32 , pp. 833-848
    • Isakov, V.1    Yamamoto, M.2    Wang, J.-N.3
  • 178
    • 84924995300 scopus 로고    scopus 로고
    • Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to Neumann map
    • Isakov, V., Wang, J.-N. Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to Neumann map. Inv. Probl. Imag., 8 (2014), 1139– 1150.
    • (2014) Inv. Probl. Imag. , vol.8 , pp. 1139-1150
    • Isakov, V.1    Wang, J.-N.2
  • 179
    • 0000393638 scopus 로고
    • An integral equation of the inverse problem of the logarithmic potential
    • Ivanov, V.K. An integral equation of the inverse problem of the logarithmic potential. Dokl. Akad. Nauk SSSR, 105 (1955), 409– 411.
    • (1955) Dokl. Akad. Nauk SSSR , vol.105 , pp. 409-411
    • Ivanov, V.K.1
  • 181
    • 0141827558 scopus 로고
    • Numerical Solution of the heat equation for preceding time
    • John, F. Numerical Solution of the heat equation for preceding time. Ann. Mat. Pura Appl., 40 (1955), 129–142.
    • (1955) Ann. Mat. Pura Appl. , vol.40 , pp. 129-142
    • John, F.1
  • 182
    • 84980073634 scopus 로고
    • Continuous dependence on data for solutions of partial differential equations with a prescribed bound
    • John, F. Continuous dependence on data for solutions of partial differential equations with a prescribed bound. Comm. Pure Appl. Math., 13 (1960), 551–585.
    • (1960) Comm. Pure Appl. Math. , vol.13 , pp. 551-585
    • John, F.1
  • 183
    • 85068004418 scopus 로고
    • vol., Birkhäuser-Verlag, Basel-Boston
    • John, F. Collected papers, vol. 1. Birkhäuser-Verlag, Basel-Boston, 1985.
    • (1985) Collected Papers , vol.1
    • John, F.1
  • 185
    • 0000369989 scopus 로고    scopus 로고
    • The layer potential technique for the inverse conductivity problem
    • Kang, H., Seo, J.K. The layer potential technique for the inverse conductivity problem. Inverse Problems, 12 (1996), 267–278.
    • (1996) Inverse Problems , vol.12 , pp. 267-278
    • Kang, H.1    Seo, J.K.2
  • 188
    • 0002572909 scopus 로고
    • Inverse Problems
    • Keller, J. Inverse Problems. Amer. Math. Monthly, 83 (1976), 107–118.
    • (1976) Amer. Math. Monthly , vol.83 , pp. 107-118
    • Keller, J.1
  • 189
    • 84904686631 scopus 로고    scopus 로고
    • The Calderon problem with partial data on manifolds and applications
    • Kenig, C., Salo, M. The Calderon problem with partial data on manifolds and applications. Analysis and PDE, 6 (2013), 2003– 2048.
    • (2013) Analysis and PDE , vol.6 , pp. 2003-2048
    • Kenig, C.1    Salo, M.2
  • 190
    • 34547164277 scopus 로고    scopus 로고
    • The Calderon problem with partial data
    • Kenig, C., Sjöstrand, J., Uhlmann, G. The Calderon problem with partial data. Ann. Math., 165 (2007), 567–591.
    • (2007) Ann. Math. , vol.165 , pp. 567-591
    • Kenig, C.1    Sjöstrand, J.2    Uhlmann, G.3
  • 191
    • 84990618250 scopus 로고
    • A class of inverse problems for elliptic equations
    • Khaidarov, A. A class of inverse problems for elliptic equations. Diff. Equat., 23 (1987), 939–945.
    • (1987) Diff. Equat. , vol.23 , pp. 939-945
    • Khaidarov, A.1
  • 192
    • 0013286502 scopus 로고
    • Estimates for stability in multidimensional inverse problems for differential equation
    • Khaidarov, A. Estimates for stability in multidimensional inverse problems for differential equation. Soviet Math. Dokl., 38 (1989), 614–617.
    • (1989) Soviet Math. Dokl. , vol.38 , pp. 614-617
    • Khaidarov, A.1
  • 193
    • 0345985724 scopus 로고    scopus 로고
    • Unique determination of a collection of a finite number of cracks from two boundary measurements
    • Kim, H., Seo, J.K. Unique determination of a collection of a finite number of cracks from two boundary measurements. SIAM J. Math. Anal., 27 (1996), 1336–1340.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1336-1340
    • Kim, H.1    Seo, J.K.2
  • 194
    • 84956942099 scopus 로고    scopus 로고
    • Uniqueness and Hölder stability of continuation for the linear thermoelasticity system with residual tress
    • Kim, N. Uniqueness and Hölder stability of continuation for the linear thermoelasticity system with residual tress. Evol. Equat. Control Theory, 2 (2013), 679–693.
    • (2013) Evol. Equat. Control Theory , vol.2 , pp. 679-693
    • Kim, N.1
  • 196
    • 0000532530 scopus 로고
    • Uniqueness in Inverse Obstacle Scattering
    • Kirsch, A., Kress, R. Uniqueness in Inverse Obstacle Scattering. Inverse Problems 9, (1993), 285–299.
    • (1993) Inverse Problems , vol.9 , pp. 285-299
    • Kirsch, A.1    Kress, R.2
  • 198
    • 84903296110 scopus 로고    scopus 로고
    • Phaseless inverse scattering problems in three dimensions
    • Klibanov, M.V. Phaseless inverse scattering problems in three dimensions. SIAM J. Appl. Math., 74 (2014), 392–410.
    • (2014) SIAM J. Appl. Math. , vol.74 , pp. 392-410
    • Klibanov, M.V.1
  • 199
    • 0347940923 scopus 로고
    • Newton-Kantorovich method for 3-dimensional inverse scattering problem and stability of the hyperbolic Cauchy problem with time independent data
    • Klibanov, M.V., Malinskii, J. Newton-Kantorovich method for 3-dimensional inverse scattering problem and stability of the hyperbolic Cauchy problem with time independent data. Inverse Problems, 7 (1991), 577–595.
    • (1991) Inverse Problems , vol.7 , pp. 577-595
    • Klibanov, M.V.1    Malinskii, J.2
  • 202
    • 0009083958 scopus 로고    scopus 로고
    • Stabilization of ill-posed Cauchy problems for parabolic equations
    • (4)149 (1987), 393–409
    • [KnV] Knabner, P., Vessella, S. Stabilization of ill-posed Cauchy problems for parabolic equations. Ann. Mat. Pura Appl., (4)149 (1987), 393–409.
    • Ann. Mat. Pura Appl
    • Knabner, P.1    Vessella, S.2
  • 203
    • 34547204381 scopus 로고    scopus 로고
    • Determining non smooth first order terms from partial boundary measurements
    • Knudsen K., Salo, M. Determining non smooth first order terms from partial boundary measurements Inv. Probl. Imag., 1 (2007), 349–369.
    • (2007) Inv. Probl. Imag. , vol.1 , pp. 349-369
    • Knudsen, K.1    Salo, M.2
  • 204
    • 0035585423 scopus 로고    scopus 로고
    • Carleman estimates and unique continuation for second order elliptic equations with non smooth coefficients
    • Koch, H., Tataru, D. Carleman estimates and unique continuation for second order elliptic equations with non smooth coefficients. Comm. Pure Appl. Math., 54 (2001), 339–360.
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 339-360
    • Koch, H.1    Tataru, D.2
  • 205
    • 68749093942 scopus 로고    scopus 로고
    • Carleman estimates and unique continuation for second order parabolic equations with non smooth coefficients
    • Koch, H., Tataru, D. Carleman estimates and unique continuation for second order parabolic equations with non smooth coefficients. Comm. Part. Diff. Equat., 34 (2009), 305–366.
    • (2009) Comm. Part. Diff. Equat. , vol.34 , pp. 305-366
    • Koch, H.1    Tataru, D.2
  • 206
    • 0000430260 scopus 로고
    • Numerical implementation of a variational method for electrical impedance tomography
    • Kohn, R., McKenney, A. Numerical implementation of a variational method for electrical impedance tomography. Inverse Problems, 9 (1990), 389–414.
    • (1990) Inverse Problems , vol.9 , pp. 389-414
    • Kohn, R.1    McKenney, A.2
  • 207
    • 84990583776 scopus 로고
    • Determining Conductivity by Boundary Measurements
    • Kohn, R., Vogelius, M. Determining Conductivity by Boundary Measurements. Comm. Pure Appl. Math., 37 (1984), 281–298.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 281-298
    • Kohn, R.1    Vogelius, M.2
  • 208
    • 84990557216 scopus 로고
    • Determining Conductivity by Boundary Measurements, Interior Results, II
    • Kohn, R., Vogelius, M. Determining Conductivity by Boundary Measurements, Interior Results, II. Comm. Pure Appl. Math., 38 (1985), 643–667.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 643-667
    • Kohn, R.1    Vogelius, M.2
  • 209
    • 84990623569 scopus 로고
    • Relaxation of a variational method for impedance computed tomography
    • Kohn, R., Vogelius, M. Relaxation of a variational method for impedance computed tomography. Comm. Pure Appl. Math., 40 (1987), 745–777.
    • (1987) Comm. Pure Appl. Math. , vol.40 , pp. 745-777
    • Kohn, R.1    Vogelius, M.2
  • 210
    • 0000710664 scopus 로고
    • Maz’ya, V.G. On iterative procedures for solving ill-posed problems that preserve differential equations
    • Kozlov, V.A., Maz’ya, V.G. On iterative procedures for solving ill-posed problems that preserve differential equations. Leningrad Math. J., 1 (1990), 1207–1228.
    • (1990) Leningrad Math. J. , vol.1 , pp. 1207-1228
    • Kozlov, V.A.1
  • 211
    • 0001682920 scopus 로고
    • On inverse problems for an inhomogeneous string
    • Krein, M. On inverse problems for an inhomogeneous string. Dokl. Akad. Nauk SSSR, 82 (1952), 669–672.
    • (1952) Dokl. Akad. Nauk SSSR , vol.82 , pp. 669-672
    • Krein, M.1
  • 213
    • 84891708377 scopus 로고    scopus 로고
    • Inverse Transmission Problems for Magnetic Schrödinger Operators
    • Krupchyk, K. Inverse Transmission Problems for Magnetic Schrödinger Operators. Intern. Math. Res. Notices, 2014 (2012), 65–164.
    • (2014) Intern. Math. Res. Notices , Issue.2012 , pp. 65-164
    • Krupchyk, K.1
  • 214
    • 0040541439 scopus 로고
    • On a example of non-uniqueness of solutions of the Cauchy problem for the wave equation
    • Kumano-Go, H. On a example of non-uniqueness of solutions of the Cauchy problem for the wave equation. Proc. Japan Acad., 39 (1963), 578–582.
    • (1963) Proc. Japan Acad. , vol.39 , pp. 578-582
    • Kumano-Go, H.1
  • 216
    • 4043079937 scopus 로고    scopus 로고
    • Identification of anisotropic anomalous region in inverse problems
    • Kwon, K. Identification of anisotropic anomalous region in inverse problems. Inverse Problems, 20 (2004), 1117–1136.
    • (2004) Inverse Problems , vol.20 , pp. 1117-1136
    • Kwon, K.1
  • 217
    • 0036133594 scopus 로고    scopus 로고
    • A Real-Time Algorithm for Location Search of Discontinuous Conductivities with One Measurement
    • Kwon, O., Seo, J.K., Yoon, J.-R. A Real-Time Algorithm for Location Search of Discontinuous Conductivities with One Measurement. Comm. Pure Appl. Math., 55 (2002), 1–29.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 1-29
    • Kwon, O.1    Seo, J.K.2    Yoon, J.-R.3
  • 220
    • 84966215704 scopus 로고
    • An inverse problem in differential equations
    • Langer, R.E. An inverse problem in differential equations. Bull. Amer. Math. Soc., 39 (1933), 814–820.
    • (1933) Bull. Amer. Math. Soc. , vol.39 , pp. 814-820
    • Langer, R.E.1
  • 221
    • 85068001449 scopus 로고    scopus 로고
    • Recent advances in Regularity of Second-Order Hyperbolic Mixed problems, and Applications
    • 3, Springer-Verlag, 1994, 105– 160
    • [LaT] Lasiecka, I., Triggiani, R. Recent advances in Regularity of Second-Order Hyperbolic Mixed problems, and Applications. Expositions in Dynamical Systems, 3, Springer-Verlag, 1994, 105– 160.
    • Expositions in Dynamical Systems
    • Lasiecka, I.1    Triggiani, R.2
  • 222
    • 0002370884 scopus 로고    scopus 로고
    • Inverse/observability estimates for second order hyperbolic equations with variable coefficients
    • Lasiecka, I., Triggiani, R., Yao, P.F. Inverse/observability estimates for second order hyperbolic equations with variable coefficients. J. Math. Anal. Appl., 235 (1999), 13–57.
    • (1999) J. Math. Anal. Appl. , vol.235 , pp. 13-57
    • Lasiecka, I.1    Triggiani, R.2    Yao, P.F.3
  • 223
    • 85067943621 scopus 로고    scopus 로고
    • Lasiecka, I., Triggiani, R., Zhang, X. Non conservative Wave Equations with Unobserved Neumann B.C. Contemp. Math., AMS, 268 (2000), 227–325
    • [LaTZ1] Lasiecka, I., Triggiani, R., Zhang, X. Non conservative Wave Equations with Unobserved Neumann B.C. Contemp. Math., AMS, 268 (2000), 227–325.
  • 225
    • 4043139315 scopus 로고    scopus 로고
    • The Dirichlet-to-Neumann map for complete Riemannian manifolds with Boundary
    • Lassas, M., Taylor, M., Uhlmann, G. The Dirichlet-to-Neumann map for complete Riemannian manifolds with Boundary. Comm. Anal. Geom., 19 (2003), 207–221.
    • (2003) Comm. Anal. Geom. , vol.19 , pp. 207-221
    • Lassas, M.1    Taylor, M.2    Uhlmann, G.3
  • 227
    • 34250438833 scopus 로고
    • A certain class of operator equations of the first kind
    • Lavrentiev, M.M., Bukhgeim, A. A certain class of operator equations of the first kind. Funct. Anal. Appl., 7 (1973), 290–298.
    • (1973) Funct. Anal. Appl. , vol.7 , pp. 290-298
    • Lavrentiev, M.M.1    Bukhgeim, A.2
  • 229
    • 84972538741 scopus 로고
    • Asymptotic solution of oscillatory initial value problems
    • Lax, P. Asymptotic solution of oscillatory initial value problems. Duke Math. J., 24 (1957), 627–646.
    • (1957) Duke Math. J. , vol.24 , pp. 627-646
    • Lax, P.1
  • 230
    • 84980185508 scopus 로고
    • The scattering of sound waves by an obstacle
    • Lax, P., Phillips, R. The scattering of sound waves by an obstacle. Comm. Pure Appl. Math., 30 (1977), 195–233.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 195-233
    • Lax, P.1    Phillips, R.2
  • 231
    • 85067964485 scopus 로고
    • R. Scattering Theory. Academic Press
    • Lax, P., Phillips, R. Scattering Theory. Academic Press, 1989.
    • (1989) Phillips
    • Lax, P.1
  • 232
    • 84990609931 scopus 로고
    • Determining anisotropic real-analytic conductivities by boundary measurements
    • Lee, J., Uhlmann, G. Determining anisotropic real-analytic conductivities by boundary measurements. Comm. Pure Appl. Math., 52 (1989), 1097–1113.
    • (1989) Comm. Pure Appl. Math. , vol.52 , pp. 1097-1113
    • Lee, J.1    Uhlmann, G.2
  • 235
    • 51249162638 scopus 로고
    • Smoothing evolution equations and boundary control theory
    • Littman, W., Taylor, S.W. Smoothing evolution equations and boundary control theory. J.d’ Anal. Math., 59 (1992), 201–215.
    • (1992) J.d’ Anal. Math. , vol.59 , pp. 201-215
    • Littman, W.1    Taylor, S.W.2
  • 236
    • 85067950191 scopus 로고    scopus 로고
    • Observabilité frontierèdel’équation des ondes. C.R. Acad. Sc. Paris, t. 302, Ser. I, #12 (1986)
    • Lop Fat Ho. Observabilité frontierèdel’équation des ondes. C.R. Acad. Sc. Paris, t. 302, Ser. I, #12 (1986), 443–446.
    • Ho, L.F.1
  • 237
    • 0038043630 scopus 로고    scopus 로고
    • On complex-valued solutions to a 2D eikonal equation
    • Magnanini, R., Talenti, G. On complex-valued solutions to a 2D eikonal equation. SIAM J. Math. Anal., 34 (2003), 805–835.
    • (2003) SIAM J. Math. Anal. , vol.34 , pp. 805-835
    • Magnanini, R.1    Talenti, G.2
  • 238
    • 0041185592 scopus 로고
    • Inverse Scattering Problems for transparent obstacles, electromagnetic waves and hyperbolic systems
    • Majda, A., Taylor, M. Inverse Scattering Problems for transparent obstacles, electromagnetic waves and hyperbolic systems. Comm. Part. Diff. Equat., 2 (4) (1977), 395–438.
    • (1977) Comm. Part. Diff. Equat. , vol.2 , Issue.4 , pp. 395-438
    • Majda, A.1    Taylor, M.2
  • 239
    • 0035473445 scopus 로고    scopus 로고
    • Exponential instability in an inverse problem for the Schrödinger equation
    • Mandache, N. Exponential instability in an inverse problem for the Schrödinger equation. Inverse Problems, 17 (2001), 1435– 1444.
    • (2001) Inverse Problems , vol.17 , pp. 1435-1444
    • Mandache, N.1
  • 240
    • 85067962374 scopus 로고
    • Marchenko, V.A. Sturm-Liouville Operators and Applications. Birkhäuser
    • Marchenko, V.A. Sturm-Liouville Operators and Applications. Birkhäuser, 1986.
    • (1986)
  • 243
    • 85067960934 scopus 로고
    • Counterexamples to Holmgren’s uniqueness for analytic non-linear Cauchy Problem
    • Metivier, G. Counterexamples to Holmgren’s uniqueness for analytic non-linear Cauchy Problem. Inv. Math., 112 (1993), 1–8.
    • (1993) Inv. Math. , vol.112 , pp. 1-8
    • Metivier, G.1
  • 247
    • 0001905162 scopus 로고
    • The reconstruction problem of a two-dimensional Riemannian metric and integral geometry
    • Muhometov, R. The reconstruction problem of a two-dimensional Riemannian metric and integral geometry. Soviet Math. Dokl., 18 (1977), 32–35.
    • (1977) Soviet Math. Dokl. , vol.18 , pp. 32-35
    • Muhometov, R.1
  • 248
    • 0012098390 scopus 로고
    • On one problem of reconstruction of a two-dimensional Riemannian metric and integral geometry
    • Muhometov, R. On one problem of reconstruction of a two-dimensional Riemannian metric and integral geometry. Siber. Math. J., 22 (1981), 119–135.
    • (1981) Siber. Math. J. , vol.22 , pp. 119-135
    • Muhometov, R.1
  • 250
    • 0000426306 scopus 로고
    • Reconstruction from boundary measurements
    • Nachman, A. Reconstruction from boundary measurements. Ann. Math., 128 (1988), 531–577.
    • (1988) Ann. Math. , vol.128 , pp. 531-577
    • Nachman, A.1
  • 251
    • 0030550779 scopus 로고
    • Global uniqueness for a two dimensional inverse boundary value problem
    • Nachman, A. Global uniqueness for a two dimensional inverse boundary value problem. Ann. Math., 142 (1995), 71–96.
    • (1995) Ann. Math. , vol.142 , pp. 71-96
    • Nachman, A.1
  • 252
    • 0000264485 scopus 로고
    • Global Identifiability for an Inverse Problem for the Schrödinger Equation in a Magnetic Field
    • Nakamura, G., Sun, Z., Uhlmann, G. Global Identifiability for an Inverse Problem for the Schrödinger Equation in a Magnetic Field. Math. Ann., 303 (1995), 377–388.
    • (1995) Math. Ann. , vol.303 , pp. 377-388
    • Nakamura, G.1    Sun, Z.2    Uhlmann, G.3
  • 253
    • 0000107961 scopus 로고
    • Identification of Lame parameters by boundary observations
    • Nakamura, G., Uhlmann, G. Identification of Lame parameters by boundary observations. Amer. J. Math., 115 (1993), 1161–1189.
    • (1993) Amer. J. Math. , vol.115 , pp. 1161-1189
    • Nakamura, G.1    Uhlmann, G.2
  • 254
    • 21844496162 scopus 로고
    • Inverse Problems at the boundary for an elastic medium
    • Nakamura, G., Uhlmann, G. Inverse Problems at the boundary for an elastic medium. SIAM J. Math. Anal., 26 (1995), 263–279.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 263-279
    • Nakamura, G.1    Uhlmann, G.2
  • 255
    • 0000135170 scopus 로고    scopus 로고
    • Nakamura, G., Uhlmann, G. Global uniqueness for an inverse boundary value problems arising in elasticity. Invent. Math., 118 (1994), 457–474. Erratum, 152 (2003), 205–208
    • [NaU3] Nakamura, G., Uhlmann, G. Global uniqueness for an inverse boundary value problems arising in elasticity. Invent. Math., 118 (1994), 457–474. Erratum, 152 (2003), 205–208.
  • 257
    • 85067990695 scopus 로고    scopus 로고
    • Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland, 2000
    • New Analytic and Geometric Methods in Inverse Problems. Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland, 2000. Springer-Verlag, 2004.
    • (2004) Springer-Verlag
  • 259
    • 0001354975 scopus 로고
    • Sur le problème inverse du potentiel
    • Novikov, P.S. Sur le problème inverse du potentiel. Dokl. Akad. Nauk SSSR, 18 (1938), 165–168.
    • (1938) Dokl. Akad. Nauk SSSR , vol.18 , pp. 165-168
    • Novikov, P.S.1
  • 260
    • 34249973239 scopus 로고
    • Multidimensional inverse spectral problem for the equation −Δψ +(V(x) − Eu(x))ψ =0
    • Novikov, R.G. Multidimensional inverse spectral problem for the equation −Δψ +(v(x) − Eu(x))ψ =0.Funct. Anal. and Appl., 22 (1988), 11–23.
    • (1988) Funct. Anal. and Appl. , vol.22 , pp. 11-23
    • Novikov, R.G.1
  • 261
    • 0036546781 scopus 로고    scopus 로고
    • An inversion formula for the attenuated X-ray transform
    • Novikov, R.G. An inversion formula for the attenuated X-ray transform. Ark. Math., 40 (2002), 145–167.
    • (2002) Ark. Math. , vol.40 , pp. 145-167
    • Novikov, R.G.1
  • 262
    • 84973999369 scopus 로고
    • An Inverse Boundary Value Problem in Electrodynamics
    • Ola, P., Päivärinta, L., Somersalo, E. An Inverse Boundary Value Problem in Electrodynamics. Duke Math. J., 70 (1993), 617–653.
    • (1993) Duke Math. J. , vol.70 , pp. 617-653
    • Ola, P.1    Päivärinta, L.2    Somersalo, E.3
  • 263
    • 0030216087 scopus 로고    scopus 로고
    • Electromagnetic inverse problems and generalized Sommerfeld potentials
    • Ola, P., Somersalo, E. Electromagnetic inverse problems and generalized Sommerfeld potentials. SIAM J. Appl. Math., 56 (1996), 1129–1145.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1129-1145
    • Ola, P.1    Somersalo, E.2
  • 264
    • 45449124033 scopus 로고
    • Compact isospectral sets of surfaces
    • Osgood, B., Phillips, R., Sarnak, P. Compact isospectral sets of surfaces. J. Funct. Anal., 80 (1988), 212–234.
    • (1988) J. Funct. Anal. , vol.80 , pp. 212-234
    • Osgood, B.1    Phillips, R.2    Sarnak, P.3
  • 267
    • 23844516817 scopus 로고    scopus 로고
    • Two-dimensional compact simple Riemannian manifolds are boundary distance rigid
    • Pestov, L., Uhlmann, G. Two-dimensional compact simple Riemannian manifolds are boundary distance rigid. Ann. Math., 161 (2005), 1089–1106.
    • (2005) Ann. Math. , vol.161 , pp. 1089-1106
    • Pestov, L.1    Uhlmann, G.2
  • 268
    • 84980087130 scopus 로고
    • A smooth linear elliptic differential equation without any solution in a sphere
    • Pli˘s, A
    • Pli˘s, A. A smooth linear elliptic differential equation without any solution in a sphere. Comm. Pure Appl. Math., 14 (1961), 599– 617.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 599-617
  • 269
    • 0001779153 scopus 로고
    • On non-uniqueness in Cauchy problem for an elliptic second order equation
    • Pli˘s, A. On non-uniqueness in Cauchy problem for an elliptic second order equation. Bull. Acad. Polon. Sci. Ser. Sc. Math. Astr. Phys., 11 (1963), 95–100.
    • (1963) Bull. Acad. Polon. Sci. Ser. Sc. Math. Astr. Phys. , vol.11 , pp. 95-100
    • Pli˘S, A.1
  • 272
    • 0037663757 scopus 로고    scopus 로고
    • A ’range test’ for determining scatterers with unknown physical properties
    • Potthast, R., Sylvester, J., Kusiak, S. A ’range test’ for determining scatterers with unknown physical properties. Inverse Problems, 19 (2003), 533–547.
    • (2003) Inverse Problems , vol.19 , pp. 533-547
    • Potthast, R.1    Sylvester, J.2    Kusiak, S.3
  • 273
    • 38249003062 scopus 로고
    • On a small perturbation in the two dimensional inverse conductivity problem
    • Powell, J. On a small perturbation in the two dimensional inverse conductivity problem. J. Math. Anal. Appl., 175 (1993), 292–304.
    • (1993) J. Math. Anal. Appl. , vol.175 , pp. 292-304
    • Powell, J.1
  • 274
    • 84981426351 scopus 로고
    • Über die Existenz and Eindeutigkeit von Lösungen inverser Probleme
    • Prilepko, A.I. Über die Existenz and Eindeutigkeit von Lösungen inverser Probleme. Math Nach., 63 (1974), 135–153.
    • (1974) Math Nach , vol.63 , pp. 135-153
    • Prilepko, A.I.1
  • 275
    • 0004203350 scopus 로고    scopus 로고
    • Methods for solving inverse problems in mathematical physics
    • New York-Basel
    • Prilepko, A.I., Orlovskii, D.G., Vasin, I.A. Methods for solving inverse problems in mathematical physics. Marcel Dekker, New York-Basel, 2000.
    • (2000) Marcel Dekker
    • Prilepko, A.I.1    Orlovskii, D.G.2    Vasin, I.A.3
  • 276
    • 34548032050 scopus 로고
    • Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type
    • Prilepko, A.I., Solov’ev, V.V. Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type, II. Diff. Equat, 23 (1987), 1341–1349.
    • (1987) II. Diff. Equat , vol.23 , pp. 1341-1349
    • Prilepko, A.I.1    Solov’Ev, V.V.2
  • 277
    • 0023364305 scopus 로고
    • Can one hear the shape of a drum?
    • Protter, M. Can one hear the shape of a drum? SIAM Review, 29 (1987), 185–196.
    • (1987) SIAM Review , vol.29 , pp. 185-196
    • Protter, M.1
  • 278
    • 0001476916 scopus 로고    scopus 로고
    • On a global estimate in a linear inverse hyperbolic problem
    • Puel, J.-P., Yamamoto, M. On a global estimate in a linear inverse hyperbolic problem. Inverse Problems, 12 (1996), 995–1002.
    • (1996) Inverse Problems , vol.12 , pp. 995-1002
    • Puel, J.-P.1    Yamamoto, M.2
  • 279
    • 84963146386 scopus 로고
    • An inverse impedance transmission problem for the wave equation
    • Rakesh. An inverse impedance transmission problem for the wave equation. Comm. Part. Diff. Equat., 18 (1993), 583–600.
    • (1993) Comm. Part. Diff. Equat. , vol.18 , pp. 583-600
  • 282
    • 0000717548 scopus 로고
    • Theorème d’Unicité Adapté auContrôle des Solutions des Problèmes Hyperboliques
    • Robbiano, L. Theorème d’Unicité Adapté auContrôle des Solutions des Problèmes Hyperboliques. Comm. Part. Diff. Equat., 16 (1991), 789–801.
    • (1991) Comm. Part. Diff. Equat. , vol.16 , pp. 789-801
    • Robbiano, L.1
  • 284
    • 84933182549 scopus 로고    scopus 로고
    • Stable determination of a scattered wave from its far field pattern: The high frequency asymptotics
    • Rondi, L., Sini, M. Stable determination of a scattered wave from its far field pattern: the high frequency asymptotics. Arch. Rat. Mech. Anal., 218 (2015), 1–54.
    • (2015) Arch. Rat. Mech. Anal. , vol.218 , pp. 1-54
    • Rondi, L.1    Sini, M.2
  • 285
    • 0039350422 scopus 로고
    • Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem
    • Sacks, P., Symes, W. Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem. Comm. in Part. Diff. Equat., 10 (1985), 635–676.
    • (1985) Comm. in Part. Diff. Equat. , vol.10 , pp. 635-676
    • Sacks, P.1    Symes, W.2
  • 286
    • 0001191658 scopus 로고
    • Regularity of a boundary having a Schwarz function
    • Sakai, M. Regularity of a boundary having a Schwarz function. Acta Mathematica, 166 (1991), 263–287.
    • (1991) Acta Mathematica , vol.166 , pp. 263-287
    • Sakai, M.1
  • 287
    • 0009381238 scopus 로고
    • Mixed problems for hyperbolic equations
    • Sakamoto, R. Mixed problems for hyperbolic equations. J. Math. Kyoto Univ. 10 (1970), 375–417.
    • (1970) J. Math. Kyoto Univ. , vol.10 , pp. 375-417
    • Sakamoto, R.1
  • 288
    • 0025387295 scopus 로고
    • A Back projection Algorithm for Electrical Impedance Tomography
    • Santosa, F., Vogelius, M. A Back projection Algorithm for Electrical Impedance Tomography. SIAM J. of Appl Math., 50 (1990), 216–244.
    • (1990) SIAM J. of Appl Math. , vol.50 , pp. 216-244
    • Santosa, F.1    Vogelius, M.2
  • 290
    • 84951602848 scopus 로고    scopus 로고
    • On uniqueness in the inverse conductivity problem
    • Seo, J.K. On uniqueness in the inverse conductivity problem. J. Fourier Anal. Appl., 2 (1996), 227–235.
    • (1996) J. Fourier Anal. Appl. , vol.2 , pp. 227-235
    • Seo, J.K.1
  • 291
  • 293
    • 0001606527 scopus 로고
    • Layerstripping: A direct numerical method for impedance imaging
    • Somersalo, E., Cheney, M., Isaacson, D., Isaacson, E. Layerstripping: a direct numerical method for impedance imaging. Inverse Problems, 7 (1991), 899–926.
    • (1991) Inverse Problems , vol.7 , pp. 899-926
    • Somersalo, E.1    Cheney, M.2    Isaacson, D.3    Isaacson, E.4
  • 294
    • 51649156982 scopus 로고
    • Inverse Scattering Problem for Moving Obstacles
    • Stefanov, P. Inverse Scattering Problem for Moving Obstacles. Math. Z., 207 (1991), 461–481.
    • (1991) Math. Z. , vol.207 , pp. 461-481
    • Stefanov, P.1
  • 296
    • 0000087330 scopus 로고    scopus 로고
    • On a Quasilinear Inverse Boundary Value Problem
    • Sun, Z. On a Quasilinear Inverse Boundary Value Problem. Math. Z., 221 (1996), 293–307.
    • (1996) Math. Z. , vol.221 , pp. 293-307
    • Sun, Z.1
  • 297
    • 0001379395 scopus 로고    scopus 로고
    • Inverse problems in quasilinear anisotropic media
    • Sun, Z., Uhlmann, G. Inverse problems in quasilinear anisotropic media. Amer. J. Math., 119 (1997), 771–799.
    • (1997) Amer. J. Math. , vol.119 , pp. 771-799
    • Sun, Z.1    Uhlmann, G.2
  • 299
    • 84990586454 scopus 로고
    • An Anisotropic Inverse Boundary Value Problem
    • Sylvester, J. An Anisotropic Inverse Boundary Value Problem. Comm. Pure Appl. Math., 38 (1990), 201–232.
    • (1990) Comm. Pure Appl. Math. , vol.38 , pp. 201-232
    • Sylvester, J.1
  • 300
    • 0000032419 scopus 로고
    • A Convergent Layer Stripping Algorithm for the Radially Symmetric Impedance Tomography Problem
    • Sylvester, J. A Convergent Layer Stripping Algorithm for the Radially Symmetric Impedance Tomography Problem. Comm. Part. Diff. Equat., 17 (1992), 1955–1994.
    • (1992) Comm. Part. Diff. Equat. , vol.17 , pp. 1955-1994
    • Sylvester, J.1
  • 301
    • 0001110912 scopus 로고
    • Global Uniqueness Theorem for an Inverse Boundary Problem
    • Sylvester, J., Uhlmann, G. Global Uniqueness Theorem for an Inverse Boundary Problem. Ann. Math., 125 (1987), 153–169.
    • (1987) Ann. Math. , vol.125 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2
  • 302
    • 84990627147 scopus 로고
    • Inverse Boundary Value Problems at the Boundary-Continuous Dependence
    • Sylvester, J., Uhlmann, G. Inverse Boundary Value Problems at the Boundary-Continuous Dependence. Comm. Pure Appl. Math., 41 (1988) 197–221.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 197-221
    • Sylvester, J.1    Uhlmann, G.2
  • 303
    • 0000983021 scopus 로고
    • A-priori estimates of Carleman’s type in domains with boundary
    • Tataru, D. A-priori estimates of Carleman’s type in domains with boundary. J. Math. Pures Appl., 73 (1994), 355–389.
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 355-389
    • Tataru, D.1
  • 304
    • 84957249045 scopus 로고
    • Unique continuation for solutions to PDE’s; between Hormander’s Theorem and Holmgren’s Theorem
    • Tataru, D. Unique continuation for solutions to PDE’s; between Hormander’s Theorem and Holmgren’s Theorem. Comm. Part. Diff. Equat., 20 (1995), 855–884.
    • (1995) Comm. Part. Diff. Equat. , vol.20 , pp. 855-884
    • Tataru, D.1
  • 305
    • 0001692117 scopus 로고    scopus 로고
    • Carleman estimates and unique continuation for solutions to boundary value problems
    • Tataru, D. Carleman estimates and unique continuation for solutions to boundary value problems. J. Math. Pures Appl., 75 (1996), 367–408.
    • (1996) J. Math. Pures Appl. , vol.75 , pp. 367-408
    • Tataru, D.1
  • 306
    • 0037692639 scopus 로고    scopus 로고
    • On the regularity of traces for the wave equation
    • Tataru, D. On the regularity of traces for the wave equation. Ann. Scoula Norm. Sup. Pisa Cl. Sci., 26 (1998), 185–206.
    • (1998) Ann. Scoula Norm. Sup. Pisa Cl. Sci. , vol.26 , pp. 185-206
    • Tataru, D.1
  • 308
    • 0001409717 scopus 로고
    • Theorèmes d’unicité pour l’équation de la chaleur
    • Tikhonov, A.N. Theorèmes d’unicité pour l’équation de la chaleur. Mat. Sborn., 42 (1935), 199–216.
    • (1935) Mat. Sborn. , vol.42 , pp. 199-216
    • Tikhonov, A.N.1
  • 310
    • 0142007876 scopus 로고    scopus 로고
    • Carleman Estimates with No Lower-Order Terms for General Riemann Wave Equations. Global Uniqueness and Observability in One Shot
    • Triggiani, R., Yao, P.F. Carleman Estimates with No Lower-Order Terms for General Riemann Wave Equations. Global Uniqueness and Observability in One Shot. Appl. Math. Optim., 46 (2002), 331–375.
    • (2002) Appl. Math. Optim. , vol.46 , pp. 331-375
    • Triggiani, R.1    Yao, P.F.2
  • 311
    • 0000627554 scopus 로고    scopus 로고
    • Developments in inverse problems since Calderon’s fundamental paper. Harmonic analysis and partial differential equations
    • [U] Uhlmann, G. Developments in inverse problems since Calderon’s fundamental paper. Harmonic analysis and partial differential equations. Chicago lectures in Mathematics, (1999), 295–345.
    • (1999) Chicago Lectures in Mathematics , pp. 295-345
    • Uhlmann, G.1
  • 312
    • 80155183185 scopus 로고    scopus 로고
    • Electrical impedance tomography and Calderon’s problem
    • Uhlmann, G. Electrical impedance tomography and Calderon’s problem. Inverse Problems, 25 (2009), 123011.
    • (2009) Inverse Problems , vol.25
    • Uhlmann, G.1
  • 314
    • 0000267810 scopus 로고    scopus 로고
    • Stability estimates in an Inverse Problem for a Three-Dimensional Heat Equation
    • Vessella, S. Stability estimates in an Inverse Problem for a Three-Dimensional Heat Equation. SIAM J. Math. Anal., 28 (1997), 1354–1370.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 1354-1370
    • Vessella, S.1
  • 315
    • 0001785007 scopus 로고
    • Varieétés riemanniennes isospectrales et non isométriques
    • Vigneras, M.-F. Varieétés riemanniennes isospectrales et non isométriques. Ann. Math., 91 (1980), 21–32.
    • (1980) Ann. Math. , vol.91 , pp. 21-32
    • Vigneras, M.-F.1
  • 316
    • 84972564080 scopus 로고
    • Sur l’unicité retrograde dans les problèmes mixtes paraboliques. Case de dimension 1
    • [W] Watanabe, K. Sur l’unicité retrograde dans les problèmes mixtes paraboliques. Case de dimension 1. Math. Soc. Japan, 42 (1990), 377–386.
    • (1990) Math. Soc. Japan , vol.42 , pp. 377-386
    • Watanabe, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.