-
2
-
-
0026169803
-
Identification of the Lamé coefficients from boundary observations
-
Akamatsu M., Nakamura G., Steinberg S.: Identification of the Lamé coefficients from boundary observations. Inverse Problems, 7, 335-354 (1991).
-
(1991)
Inverse Problems
, vol.7
, pp. 335-354
-
-
Akamatsu, M.1
Nakamura, G.2
Steinberg, S.3
-
3
-
-
0001666009
-
solutions of elliptic equations and the determination of conductivity by boundary measurements
-
Alessandrini G.: solutions of elliptic equations and the determination of conductivity by boundary measurements. J. Diff. Equations, 84, 252-273 (1990).
-
(1990)
J.Diff. Equations
, vol.84
, pp. 252-273
-
-
Alessandrini, G.1
-
4
-
-
30444450433
-
Calderón's inverse conductivity problem in the plane
-
Astala K., Päivärinta L.: Calderón's inverse conductivity problem in the plane. Ann. of Math., 163, 265-299 (2006).
-
(2006)
Ann. Of Math.
, vol.163
, pp. 265-299
-
-
Astala, K.1
Päivärinta, L.2
-
6
-
-
84888287195
-
The inverse problem of the Shrödinger equation in the plane
-
ArXiv 1103. 6200
-
E. Blasten, The inverse problem of the Shrödinger equation in the plane. A dissection of Bukhgeim's result. ArXiv 1103. 6200.
-
A dissection of Bukhgeim's result
-
-
Blasten, E.1
-
8
-
-
0742288808
-
p, p > 2n, J
-
p, p > 2n, J. Fourier Analysis Appl., 9, 1049-1056 (2003).
-
(2003)
Fourier Analysis Appl.
, vol.9
, pp. 1049-1056
-
-
Brown, R.1
Torres, R.2
-
9
-
-
0001659228
-
Uniqueness in the inverse conductivity problem with less regular conductivities
-
Brown R., Uhlmann G.: Uniqueness in the inverse conductivity problem with less regular conductivities. Comm. PDE, 22, 1009-1027 (1997).
-
(1997)
Comm. PDE
, vol.22
, pp. 1009-1027
-
-
Brown, R.1
Uhlmann, G.2
-
10
-
-
40449100443
-
Recovering the potential from Cauchy data in two dimensions
-
Bukhgeim A: Recovering the potential from Cauchy data in two dimensions. J. Inverse Ill-Posed Probl., 16, 19-34 (2008).
-
(2008)
J. Inverse Ill-Posed Probl.
, vol.16
, pp. 19-34
-
-
Bukhgeim, A.1
-
11
-
-
0040150838
-
Uniqueness in the large of class of multidimensional inverse problems
-
Bukhgeim A., Klibanov M.: Uniqueness in the large of class of multidimensional inverse problems. Dokl. Akad. Nauk. SSSR, 260, 269-272 (1981).
-
(1981)
Dokl. Akad. Nauk. SSSR
, vol.260
, pp. 269-272
-
-
Bukhgeim, A.1
Klibanov, M.2
-
13
-
-
0002713385
-
On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics, 65-73
-
A. P. Calderón, On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics, 65-73, Soc. Brasil. Mat., Río de Janeiro, 1980.
-
(1980)
Soc. Brasil. Mat., Río de Janeiro
-
-
Calderón, A.P.1
-
14
-
-
0002554964
-
Sur un problème d'unicité pour les systèmes d'équations aux derivées partielles àà deux variables independentes
-
Carleman T.: Sur un problème d'unicité pour les systèmes d'équations aux derivées partielles àà deux variables independentes. Ark. Mat. Astr. Fys. 2 B, 1-9 (1939).
-
(1939)
Ark. Mat. Astr. Fys.
, vol.2 B
, pp. 1-9
-
-
Carleman, T.1
-
16
-
-
9744277451
-
Determination of two convection coefficients from Dirichlet to Neumann map in the two-dimensional case
-
Cheng J., Yamamoto M.: Determination of two convection coefficients from Dirichlet to Neumann map in the two-dimensional case. SIAM J. Math. Anal., 35, 1371-1393 (2004).
-
(2004)
SIAM J. Math. Anal.
, vol.35
, pp. 1371-1393
-
-
Cheng, J.1
Yamamoto, M.2
-
17
-
-
33847670175
-
Determining a magnetic Schrödinger operator from partial Cauchy data
-
Dos Santos Ferreira D., Kenig C., Sjöstrand J., Uhlmann G.: Determining a magnetic Schrödinger operator from partial Cauchy data. Commun. Math. Phys., 271, 467-488 (2007).
-
(2007)
Commun. Math. Phys.
, vol.271
, pp. 467-488
-
-
Dos Santos Ferreira, D.1
Kenig, C.2
Sjöstrand, J.3
Uhlmann, G.4
-
18
-
-
0035649639
-
Global uniqueness in the inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials
-
Eskin G.: Global uniqueness in the inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials. Comm. Math. Phys., 222, 503-531 (2001).
-
(2001)
Comm. Math. Phys.
, vol.222
, pp. 503-531
-
-
Eskin, G.1
-
19
-
-
0036608345
-
On the inverse boundary value problem for linear isotropic elasticity
-
Eskin G., Ralston J.: On the inverse boundary value problem for linear isotropic elasticity. Inverse Problems, 18, 907-921 (2002).
-
(2002)
Inverse Problems
, vol.18
, pp. 907-921
-
-
Eskin, G.1
Ralston, J.2
-
20
-
-
11044221533
-
On the inverse boundary value problem for linear isotropic elasticity and Cauchy-Riemann systems
-
G. Eskin and J. Ralston, On the inverse boundary value problem for linear isotropic elasticity and Cauchy-Riemann systems, in "Inverse Problem and Spectral Theory", Contempt. Math. 348, Amer. Math. Soc. Providence, RI, 2004, pp. 53-69.
-
(2004)
"Inverse Problem and Spectral Theory", Contempt. Math. 348, Amer. Math. Soc. Providence, RI
, pp. 53-69
-
-
Eskin, G.1
Ralston, J.2
-
22
-
-
79957864819
-
Calderón inverse problem with partial Cauchy data on Riemannian surfaces
-
Guillarmou C., Tzou L.: Calderón inverse problem with partial Cauchy data on Riemannian surfaces. Duke Math. J., 158, 83-120 (2011).
-
(2011)
Duke Math. J.
, vol.158
, pp. 83-120
-
-
Guillarmou, C.1
Tzou, L.2
-
23
-
-
84877052307
-
Uniqueness in Calderón's problem with Lipschitz conductivities
-
Haberman B., Tataru D.: Uniqueness in Calderón's problem with Lipschitz conductivities. Duke Math. J., 162, 497-516 (2013).
-
(2013)
Duke Math. J.
, vol.162
, pp. 497-516
-
-
Haberman, B.1
Tataru, D.2
-
27
-
-
0025550317
-
Inversion formulas for the linearized problem for an inverse boundary value problem in elastic prospection
-
Ikehata M.: Inversion formulas for the linearized problem for an inverse boundary value problem in elastic prospection. SIAM J. Appl. Math., 50, 1635-1644 (1990).
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 1635-1644
-
-
Ikehata, M.1
-
28
-
-
0348081503
-
Boundary controllability of parabolic equations
-
Imanuvilov O.: Boundary controllability of parabolic equations. Sbornik Mathematics, 186, 879-900 (1995).
-
(1995)
Sbornik Mathematics
, vol.186
, pp. 879-900
-
-
Imanuvilov, O.1
-
29
-
-
77952047026
-
The Calderón problem with partial data in two dimensions
-
Imanuvilov O., Uhlmann G., Yamamoto M.: The Calderón problem with partial data in two dimensions. J. Amer. Math. Soc., 23, 655-691 (2010).
-
(2010)
J. Amer. Math. Soc.
, vol.23
, pp. 655-691
-
-
Imanuvilov, O.1
Uhlmann, G.2
Yamamoto, M.3
-
30
-
-
79551655252
-
Determination of second-order elliptic operators in two dimensions from partial Cauchy data
-
Imanuvilov O., Uhlmann G., Yamamoto M.: Determination of second-order elliptic operators in two dimensions from partial Cauchy data. Proc. Natl. Acad. Sci. USA, 180, 467-472 (2011).
-
(2011)
Proc. Natl. Acad. Sci. USA
, vol.180
, pp. 467-472
-
-
Imanuvilov, O.1
Uhlmann, G.2
Yamamoto, M.3
-
31
-
-
79961238224
-
Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets
-
Imanuvilov O., Uhlmann G., Yamamoto M: Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets. Inverse Problems, 27, 085007 (2011).
-
(2011)
Inverse Problems
, vol.27
, pp. 085007
-
-
Imanuvilov, O.1
Uhlmann, G.2
Yamamoto, M.3
-
32
-
-
84870401297
-
Partial Cauchy data for general second order elliptic operators in two dimensions
-
Imanuvilov O., Uhlmann G., Yamamoto M.: Partial Cauchy data for general second order elliptic operators in two dimensions. Publ. Research Institute Math. Sci., 48, 971-1055 (2012).
-
(2012)
Publ. Research Institute Math. Sci.
, vol.48
, pp. 971-1055
-
-
Imanuvilov, O.1
Uhlmann, G.2
Yamamoto, M.3
-
33
-
-
84870436092
-
uniqueness of Lamé coefficients from partial Cauchy data in three dimensions
-
Imanuvilov O., Uhlmann G., Yamamoto M.: uniqueness of Lamé coefficients from partial Cauchy data in three dimensions. Inverse Problems, 28, 125002 (2012).
-
(2012)
Inverse Problems
, vol.28
, pp. 125002
-
-
Imanuvilov, O.1
Uhlmann, G.2
Yamamoto, M.3
-
35
-
-
0037801616
-
Lipschitz stability in inverse parabolic problems by the Carleman estimate
-
Imanuvilov O., Yamamoto M.: Lipschitz stability in inverse parabolic problems by the Carleman estimate. Inverse Problems, 14, 1229-1245 (1998).
-
(1998)
Inverse Problems
, vol.14
, pp. 1229-1245
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
36
-
-
0342902119
-
Global Lipschitz stability in an inverse hyperbolic problem by interior observations
-
Imanuvilov O., Yamamoto M.: Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Inverse Problems, 17, 717-728 (2001).
-
(2001)
Inverse Problems
, vol.17
, pp. 717-728
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
37
-
-
0000085334
-
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. Partial Differential Equations, 26, 1409-1425 (2001).
-
(2001)
Comm. Partial Differential Equations
, vol.26
, pp. 1409-1425
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
38
-
-
82455184323
-
On reconstruction of Lamé coefficients from partial Cauchy data
-
Imanuvilov O., Yamamoto M.: On reconstruction of Lamé coefficients from partial Cauchy data. J. Inverse ll-Posed Problems, 19, 881-891 (2011).
-
(2011)
J. Inverse Ll-Posed Problems
, vol.19
, pp. 881-891
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
39
-
-
84866324488
-
Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations
-
Imanuvilov O., Yamamoto M.: Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations. Inverse Problems, 28, 095015 (2012).
-
(2012)
Inverse Problems
, vol.28
, pp. 095015
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
40
-
-
84861357447
-
Inverse boundary value problem for Schrödinger equation in two dimensions
-
Imanuvilov O., Yamamoto M.: Inverse boundary value problem for Schrödinger equation in two dimensions. SIAM J. Math. Anal., 44, 1333-1339 (2012).
-
(2012)
SIAM J. Math. Anal.
, vol.44
, pp. 1333-1339
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
41
-
-
84876583567
-
Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data
-
Imanuvilov O., Yamamoto M.: Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data. J. Inverse and Ill-posed Problems, 21, 85-108 (2013).
-
(2013)
J. Inverse and Ill-Posed Problems
, vol.21
, pp. 85-108
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
43
-
-
84876519941
-
Inverse boundary value problem for the Schrödinger equation in a cylindrical domain by partial boundary data
-
Imanuvilov O., Yamamoto M.: Inverse boundary value problem for the Schrödinger equation in a cylindrical domain by partial boundary data. Inverse Problems, 29, 045002 (2013).
-
(2013)
Inverse Problems
, vol.29
, pp. 045002
-
-
Imanuvilov, O.1
Yamamoto, M.2
-
44
-
-
84888304494
-
Editorial of special section on Biomedical Applications of Electrical Impedance Tomography
-
D. Isaacson, J. M̈uller, and S. Siltanen, Editorial of special section on Biomedical Applications of Electrical Impedance Tomography (pp. 391-638) in Physiological Measurement, 24 (2003).
-
(2003)
Physiological Measurement
, vol.24
, pp. 391-638
-
-
Isaacson, D.1
M̈uller, J.2
Siltanen, S.3
-
45
-
-
84908215702
-
On uniqueness in the inverse conductivity problem with local data
-
Isakov V.: On uniqueness in the inverse conductivity problem with local data. Inverse Problems and Imaging, 1, 95-105 (2007).
-
(2007)
Inverse Problems and Imaging
, vol.1
, pp. 95-105
-
-
Isakov, V.1
-
46
-
-
21544465323
-
Uniqueness of recovery of some quasiliner partial differential equations
-
Isakov V.: Uniqueness of recovery of some quasiliner partial differential equations. Comm. Partial Differential Equations, 26, 1947-1973 (2001).
-
(2001)
Comm. Partial Differential Equations
, vol.26
, pp. 1947-1973
-
-
Isakov, V.1
-
47
-
-
0035420301
-
Uniqueness of recovery of some systems of semiliner partial differential equations
-
Isakov V.: Uniqueness of recovery of some systems of semiliner partial differential equations. Inverse Problems, 17, 607-618 (2001).
-
(2001)
Inverse Problems
, vol.17
, pp. 607-618
-
-
Isakov, V.1
-
48
-
-
0001311566
-
Global uniqueness for a two-dimensional semilinear elliptic inverse problem
-
Isakov V., Nachman A.: Global uniqueness for a two-dimensional semilinear elliptic inverse problem. Trans. AMS., 347, 3375-3390 (1995).
-
(1995)
Trans. AMS.
, vol.347
, pp. 3375-3390
-
-
Isakov, V.1
Nachman, A.2
-
49
-
-
84990587399
-
Global uniqueness for a semilinear elliptic inverse problem
-
Isakov V., Sylvester J.: Global uniqueness for a semilinear elliptic inverse problem. Comm. Pure. Appl. Math., 47, 1403-1410 (1994).
-
(1994)
Comm. Pure. Appl. Math.
, vol.47
, pp. 1403-1410
-
-
Isakov, V.1
Sylvester, J.2
-
50
-
-
0035421328
-
resistance tomography to detect leaks from buried pipes
-
Jordana J., Gasulla M., Pallààs-Areny R.: resistance tomography to detect leaks from buried pipes. Meas. Sci. Technol., 12, 1061-1068 (2001).
-
(2001)
Meas. Sci. Technol.
, vol.12
, pp. 1061-1068
-
-
Jordana, J.1
Gasulla, M.2
Pallààs-Areny, R.3
-
51
-
-
0036685542
-
Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
-
Kang H., Nakamura G.: Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map. Inverse Problems, 18, 1079-1088 (2002).
-
(2002)
Inverse Problems
, vol.18
, pp. 1079-1088
-
-
Kang, H.1
Nakamura, G.2
-
54
-
-
34547164277
-
The Calderón problem with partial data
-
Kenig C., Sjöstrand J., Uhlmann G.: The Calderón problem with partial data. Ann. of Math., 165, 567-591 (2007).
-
(2007)
Ann. Of Math.
, vol.165
, pp. 567-591
-
-
Kenig, C.1
Sjöstrand, J.2
Uhlmann, G.3
-
55
-
-
30444459486
-
The Calderón problem with partial data for less smooth conductivities
-
Knudsen K.: The Calderón problem with partial data for less smooth conductivities. Comm. Partial Differential Equations, 31, 57-71 (2006).
-
(2006)
Comm. Partial Differential Equations
, vol.31
, pp. 57-71
-
-
Knudsen, K.1
-
56
-
-
0021580594
-
Identification of an unknown conductivity by means of measurements at the boundary, in Inverse Problems
-
Kohn R., Vogelius M.: Identification of an unknown conductivity by means of measurements at the boundary, in Inverse Problems. edited by D. McLaughlin, SIAM-AMS Proceedings, 14, 113-123 (1984).
-
(1984)
Edited by D. McLaughlin, SIAM-AMS Proceedings
, vol.14
, pp. 113-123
-
-
Kohn, R.1
Vogelius, M.2
-
58
-
-
0030550779
-
Global uniqueness for a two-dimensional inverse boundary value problem
-
Nachman A.: Global uniqueness for a two-dimensional inverse boundary value problem. Ann. of Math., 143, 71-96 (1996).
-
(1996)
Ann. Of Math.
, vol.143
, pp. 71-96
-
-
Nachman, A.1
-
59
-
-
0000107961
-
Identification of Lamé parameters by boundary measurements
-
Nakamura G., Uhlmann G.: Identification of Lamé parameters by boundary measurements. American Journal of Mathematics, 115, 1161-1187 (1993).
-
(1993)
American Journal of Mathematics
, vol.115
, pp. 1161-1187
-
-
Nakamura, G.1
Uhlmann, G.2
-
60
-
-
0000135170
-
Global uniqueness for an inverse boundary value problem arising in elasticity
-
ERRATUM, Invent. Math., 152(2003), 205-207
-
G. Nakamura, G. Uhlmann, Global uniqueness for an inverse boundary value problem arising in elasticity, Invent. Math., 118 (1994), 457-474, ERRATUM, Invent. Math., 152(2003), 205-207.
-
(1994)
Invent. Math.
, vol.118
, pp. 457-474
-
-
Nakamura, G.1
Uhlmann, G.2
-
61
-
-
21844496162
-
Inverse boundary problems at the boundary for an elastic system
-
Nakamura G., Uhlmann G.: Inverse boundary problems at the boundary for an elastic system. SIAM J. Math. Anal., 26, 263-279 (1995).
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 263-279
-
-
Nakamura, G.1
Uhlmann, G.2
-
62
-
-
78651369747
-
New global stability estimates for the Gel'fand-Calderon inverse problem
-
Novikov R. G.: New global stability estimates for the Gel'fand-Calderon inverse problem. Inverse problems, 27, 015001 (2011).
-
(2011)
Inverse Problems
, vol.27
, pp. 015001
-
-
Novikov, R.G.1
-
63
-
-
79959865188
-
Global uniqueness and reconstruction for the multichannel Gel'fand-Calderón inverse problem in two dimensions
-
Novikov R. G., Santacesaria M: Global uniqueness and reconstruction for the multichannel Gel'fand-Calderón inverse problem in two dimensions. Bull. Sci. Math., 135, 421-434 (2011).
-
(2011)
Bull. Sci. Math.
, vol.135
, pp. 421-434
-
-
Novikov, R.G.1
Santacesaria, M.2
-
64
-
-
0037908702
-
Complex geometrical optics for Lipschitz conductivities
-
L. Päivärinta, A. Panchenko and G. Uhlmann, Complex geometrical optics for Lipschitz conductivities, Revista Mateḿatica Iberoamericana, 19 (2003), 57-72.
-
(2003)
Revista Mateḿatica Iberoamericana
, vol.19
, pp. 57-72
-
-
Päivärinta, L.1
Panchenko, A.2
Uhlmann, G.3
-
67
-
-
84968484652
-
An inverse boundary value problem for the Schrödinger operator with vector potential
-
Z. Sun, An inverse boundary value problem for the Schrödinger operator with vector potential, Trans. Amer. Math. Soc., 338 (1993), 953-969.
-
(1993)
Trans. Amer. Math. Soc.
, vol.338
, pp. 953-969
-
-
Sun, Z.1
-
68
-
-
0000087330
-
On a quasilinear inverse boundary value problem
-
Z. Sun, On a quasilinear inverse boundary value problem, Math. Z., 221 (1996), 293-307.
-
(1996)
Math. Z.
, vol.221
, pp. 293-307
-
-
Sun, Z.1
-
69
-
-
84990586454
-
An anisotropic inverse boundary value problem
-
J. Sylvester, An anisotropic inverse boundary value problem, Comm. Pure Appl. Math., 43 (1990), 201-232.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, pp. 201-232
-
-
Sylvester, J.1
-
70
-
-
0001110912
-
A global uniqueness theorem for an inverse boundary value problem
-
J. Sylvester and G. Uhlmann, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math., 125 (1987), 153-169.
-
(1987)
Ann. of Math.
, vol.125
, pp. 153-169
-
-
Sylvester, J.1
Uhlmann, G.2
|