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Volumn 13, Issue 4, 1997, Pages

Boundary control in reconstruction of manifolds and metrics (the BC method)

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EID: 0001779111     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/5/002     Document Type: Article
Times cited : (196)

References (77)
  • 1
    • 3042913922 scopus 로고    scopus 로고
    • Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator
    • Avdonin S and Belishev M 1996 Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator Contr. Cyber. 25 429-40
    • (1996) Contr. Cyber. , vol.25 , pp. 429-440
    • Avdonin, S.1    Belishev, M.2
  • 2
    • 0002914072 scopus 로고
    • The controllability in a filled domain for multidimensional wave equation with a singular boundary control
    • Avdonin S, Belishev M and Ivanov S 1994 The controllability in a filled domain for multidimensional wave equation with a singular boundary control Zap. Nauchn. Semin. POMI 210 7-21 (Engl. transl. J. Math. Sci. to appear)
    • (1994) Zap. Nauchn. Semin. POMI , vol.210 , pp. 7-21
    • Avdonin, S.1    Belishev, M.2    Ivanov, S.3
  • 3
    • 3342904707 scopus 로고    scopus 로고
    • Engl. transl. to appear
    • Avdonin S, Belishev M and Ivanov S 1994 The controllability in a filled domain for multidimensional wave equation with a singular boundary control Zap. Nauchn. Semin. POMI 210 7-21 (Engl. transl. J. Math. Sci. to appear)
    • J. Math. Sci.
  • 6
    • 41449092085 scopus 로고
    • The wave shaping problem. PDE and functional analysts (in memory of P Grisvard)
    • Bardos C and Belishev M 1995 The wave shaping problem. PDE and functional analysts (in memory of P Grisvard) Progr. Nonlinear Diff. Equat. Appl. 22 41-59
    • (1995) Progr. Nonlinear Diff. Equat. Appl. , vol.22 , pp. 41-59
    • Bardos, C.1    Belishev, M.2
  • 7
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
    • Bardos C, Lebeau G and Rauch J 1992 Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary SIAM J. Contr. Opt. 30 1024-65
    • (1992) SIAM J. Contr. Opt. , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 8
    • 0001042359 scopus 로고
    • An approach to multidimensional inverse problems for the wave equation
    • Belishev M I 1987a An approach to multidimensional inverse problems for the wave equation Dokl. Akad. Nauk SSSR 297 524-27 (Engl. transl. 1988 Soviet Math. Dokl. 36 481-4)
    • (1987) Dokl. Akad. Nauk SSSR , vol.297 , pp. 524-527
    • Belishev, M.I.1
  • 9
    • 3042648053 scopus 로고
    • Engl. transl.
    • Belishev M I 1987a An approach to multidimensional inverse problems for the wave equation Dokl. Akad. Nauk SSSR 297 524-27 (Engl. transl. 1988 Soviet Math. Dokl. 36 481-4)
    • (1988) Soviet Math. Dokl. , vol.36 , pp. 481-484
  • 10
    • 0040652461 scopus 로고
    • The Gel'fand-Levitan type equations in multidimensional inverse problem for the wave equation
    • _ 1987b The Gel'fand-Levitan type equations in multidimensional inverse problem for the wave equation Zap. Nauchn. Semin. LOMI 165 15-20 (Engl. transl. 1990 J. Sov. Math. 50)
    • (1987) Zap. Nauchn. Semin. LOMI , vol.165 , pp. 15-20
  • 11
    • 3342899548 scopus 로고
    • Engl. transl.
    • _ 1987b The Gel'fand-Levitan type equations in multidimensional inverse problem for the wave equation Zap. Nauchn. Semin. LOMI 165 15-20 (Engl. transl. 1990 J. Sov. Math. 50)
    • (1990) J. Sov. Math. , vol.50
  • 12
    • 3042588967 scopus 로고
    • On M Kac's problem of the recovering of a shape of a domain through a spectrum of the Dirichlet problem
    • _ 1988 On M Kac's problem of the recovering of a shape of a domain through a spectrum of the Dirichlet problem Zap. Nauchn. Semin. LOMI 173 30-41 (Engl. transl. 1991 J. Sov. Math. 55)
    • (1988) Zap. Nauchn. Semin. LOMI , vol.173 , pp. 30-41
  • 13
    • 3342961936 scopus 로고
    • Engl. transl.
    • _ 1988 On M Kac's problem of the recovering of a shape of a domain through a spectrum of the Dirichlet problem Zap. Nauchn. Semin. LOMI 173 30-41 (Engl. transl. 1991 J. Sov. Math. 55)
    • (1991) J. Sov. Math. , vol.55
  • 14
    • 0002256350 scopus 로고
    • Wave bases in multidimensional inverse problems
    • _ 1990a Wave bases in multidimensional inverse problems Matem. Sb. 180 584-602 (Engl. transl. 1990 Math. USSR Sb. 67 23-42)
    • (1990) Matem. Sb. , vol.180 , pp. 584-602
  • 15
    • 0002256352 scopus 로고
    • Engl. transl.
    • _ 1990a Wave bases in multidimensional inverse problems Matem. Sb. 180 584-602 (Engl. transl. 1990 Math. USSR Sb. 67 23-42)
    • (1990) Math. USSR Sb. , vol.67 , pp. 23-42
  • 16
    • 3342906422 scopus 로고
    • Boundary control and wave fields continuation
    • in Russian
    • _ 1990b Boundary control and wave fields continuation LOMI Preprint No P-1-90, pp 1-41 (in Russian)
    • (1990) LOMI Preprint No P-1-90
  • 17
    • 3343020360 scopus 로고
    • On a justification of the Huygense Rule
    • _ 1994 On a justification of the Huygense Rule Zap. Nauchn. Semin. POMI 218 17-24 (Engl. transl. J. Math. Sci. to appear)
    • (1994) Zap. Nauchn. Semin. POMI , vol.218 , pp. 17-24
  • 18
    • 3342939507 scopus 로고    scopus 로고
    • Engl. transl. to appear
    • _ 1994 On a justification of the Huygense Rule Zap. Nauchn. Semin. POMI 218 17-24 (Engl. transl. J. Math. Sci. to appear)
    • J. Math. Sci.
  • 19
    • 3342974042 scopus 로고
    • The conservative model of a dissipative dynamical system
    • _ 1995 The conservative model of a dissipative dynamical system Zap. Nauchn. Semin. POMI 230 21-35 (Engl. transl. J. Math. Sci. to appear)
    • (1995) Zap. Nauchn. Semin. POMI , vol.230 , pp. 21-35
  • 20
    • 3342899549 scopus 로고    scopus 로고
    • Engl. transl. to appear
    • _ 1995 The conservative model of a dissipative dynamical system Zap. Nauchn. Semin. POMI 230 21-35 (Engl. transl. J. Math. Sci. to appear)
    • J. Math. Sci.
  • 21
    • 3343006651 scopus 로고    scopus 로고
    • Canonical model of a dynamical system with boundary control in the inverse problem of heat conductivity
    • _ 1996a Canonical model of a dynamical system with boundary control in the inverse problem of heat conductivity St Petersburg Math. J. 7869-90
    • (1996) St Petersburg Math. J. , pp. 7869-7890
  • 22
    • 3343022182 scopus 로고    scopus 로고
    • Boundary control and inverse problems: One-dimensional variant of the BC-method
    • _ 1996b Boundary control and inverse problems: one-dimensional variant of the BC-method POMI Preprint No 10/1996, pp 1-33
    • (1996) POMI Preprint No 10/1996 , pp. 1-33
  • 23
    • 3342992839 scopus 로고
    • Multidimensional analogs of the Gel'fand-Levitan-Krein equations in inverse problem for the wave equation
    • Novosibirsk: Nauka in Russian
    • Belishev M I and Blagovestchenskii A S 1992 Multidimensional analogs of the Gel'fand-Levitan-Krein equations in inverse problem for the wave equation Ill-Posed Problems of Mathematical Physics and Analysis (Novosibirsk: Nauka) pp 50-63 (in Russian)
    • (1992) Ill-Posed Problems of Mathematical Physics and Analysis , pp. 50-63
    • Belishev, M.I.1    Blagovestchenskii, A.S.2
  • 24
    • 0041106815 scopus 로고    scopus 로고
    • The two-velocity dynamical system: Boundary control of waves and inverse problems
    • Belishev M I, Blagovestchenskii A S and Ivanov S A 1997 The two-velocity dynamical system: boundary control of waves and inverse problems Wave Motion 25 83-107
    • (1997) Wave Motion , vol.25 , pp. 83-107
    • Belishev, M.I.1    Blagovestchenskii, A.S.2    Ivanov, S.A.3
  • 25
    • 3342979134 scopus 로고    scopus 로고
    • Local boundary controllability in classes of smooth functions for the wave equation
    • in Russian
    • Belishev M I and Dolgoborodov A N 1997 Local boundary controllability in classes of smooth functions for the wave equation POMI Preprint No 1/1997, pp 1-9 (in Russian)
    • (1997) POMI Preprint No 1/1997 , pp. 1-9
    • Belishev, M.I.1    Dolgoborodov, A.N.2
  • 27
    • 0039637980 scopus 로고
    • Boundary control and canonical realizations of two-velocity dynamical system
    • Belishev M I and Ivanov S A 1995 Boundary control and canonical realizations of two-velocity dynamical system Zap. Nauchn. Semin. POMI 222 18-44 (Engl. transl. 1995 J. Math. Sci. to appear)
    • (1995) Zap. Nauchn. Semin. POMI , vol.222 , pp. 18-44
    • Belishev, M.I.1    Ivanov, S.A.2
  • 28
    • 3342908181 scopus 로고
    • Engl. transl. to appear
    • Belishev M I and Ivanov S A 1995 Boundary control and canonical realizations of two-velocity dynamical system Zap. Nauchn. Semin. POMI 222 18-44 (Engl. transl. 1995 J. Math. Sci. to appear)
    • (1995) J. Math. Sci.
  • 29
    • 0039160996 scopus 로고
    • The boundary control methods in the spectral inverse problem for an inhomogeneous string
    • Belishev M I and Kachalov A P 1989 The boundary control methods in the spectral inverse problem for an inhomogeneous string Zap. Nauchn. Semin. LOMI 179 14-22 (Engl. transl. 1991 J. Sov. Math. 57)
    • (1989) Zap. Nauchn. Semin. LOMI , vol.179 , pp. 14-22
    • Belishev, M.I.1    Kachalov, A.P.2
  • 30
    • 3342989389 scopus 로고
    • Engl. transl.
    • Belishev M I and Kachalov A P 1989 The boundary control methods in the spectral inverse problem for an inhomogeneous string Zap. Nauchn. Semin. LOMI 179 14-22 (Engl. transl. 1991 J. Sov. Math. 57)
    • (1991) J. Sov. Math. , vol.57
  • 31
    • 0010600332 scopus 로고
    • Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data
    • _ 1992 Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data Zap. Nauchn. Semin. POMI 203 21-51 (Engl. transl. 1996 J. Math. Sci. 79)
    • (1992) Zap. Nauchn. Semin. POMI , vol.203 , pp. 21-51
  • 32
    • 3342977423 scopus 로고    scopus 로고
    • Engl. transl.
    • _ 1992 Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data Zap. Nauchn. Semin. POMI 203 21-51 (Engl. transl. 1996 J. Math. Sci. 79)
    • (1996) J. Math. Sci. , vol.79
  • 33
    • 0040744934 scopus 로고
    • The operator integral in multidimensional spectral inverse problem
    • Belishev M I and Kachalov A P 1994 The operator integral in multidimensional spectral inverse problem Zap. Nauchn. Semin. POMI 215 9-37 (Engl. transl. 1994 J. Math. Sci. to appear)
    • (1994) Zap. Nauchn. Semin. POMI , vol.215 , pp. 9-37
    • Belishev, M.I.1    Kachalov, A.P.2
  • 34
    • 3342887346 scopus 로고
    • Engl. transl. to appear
    • Belishev M I and Kachalov A P 1994 The operator integral in multidimensional spectral inverse problem Zap. Nauchn. Semin. POMI 215 9-37 (Engl. transl. 1994 J. Math. Sci. to appear)
    • (1994) J. Math. Sci.
  • 35
    • 0039753534 scopus 로고
    • The inverse problem of the acoustical scattering in a space with a local inhomogeneousity
    • Belishev M I and Kurylev Ya V 1986 The inverse problem of the acoustical scattering in a space with a local inhomogeneousity Zap. Nauchn. Semin. LOMI 156 24-34 (Engl. transl. 1990 J. Sov. Math. 50)
    • (1986) Zap. Nauchn. Semin. LOMI , vol.156 , pp. 24-34
    • Belishev, M.I.1    Kurylev, Ya.V.2
  • 36
    • 3342936085 scopus 로고
    • Engl. transl.
    • Belishev M I and Kurylev Ya V 1986 The inverse problem of the acoustical scattering in a space with a local inhomogeneousity Zap. Nauchn. Semin. LOMI 156 24-34 (Engl. transl. 1990 J. Sov. Math. 50)
    • (1990) J. Sov. Math. , vol.50
  • 37
    • 0010597005 scopus 로고
    • Dynamical inverse problem for the multidimensional wave equation in the large
    • _ 1987 Dynamical inverse problem for the multidimensional wave equation in the large Zap. Nauchn. Semin. LOMI 165 21-30 (Engl. transl. 1990 J. Sov. Math. 50)
    • (1987) Zap. Nauchn. Semin. LOMI , vol.165 , pp. 21-30
  • 38
    • 3342996279 scopus 로고
    • Engl. transl.
    • _ 1987 Dynamical inverse problem for the multidimensional wave equation in the large Zap. Nauchn. Semin. LOMI 165 21-30 (Engl. transl. 1990 J. Sov. Math. 50)
    • (1990) J. Sov. Math. , vol.50
  • 39
    • 3342965434 scopus 로고
    • The spectral inverse problem of the scattering of the plane waves on a halfspace with a local inhomogeneousity
    • _ 1989 The spectral inverse problem of the scattering of the plane waves on a halfspace with a local inhomogeneousity Z. Vych. Mat. Mat. Fiz. 29 1045-56
    • (1989) Z. Vych. Mat. Mat. Fiz. , vol.29 , pp. 1045-1056
  • 40
    • 0002994809 scopus 로고
    • Boundary control, wave field continuation and inverse problems for the wave equation
    • _ 1991 Boundary control, wave field continuation and inverse problems for the wave equation Comput. Math. Appl. 22 27-52
    • (1991) Comput. Math. Appl. , vol.22 , pp. 27-52
  • 41
    • 84947680266 scopus 로고
    • To the reconstruction of a Riemannian manifold via its spectral data (BC-method)
    • _ 1992 To the reconstruction of a Riemannian manifold via its spectral data (BC-method) Comm. PDE 17 767-804
    • (1992) Comm. PDE , vol.17 , pp. 767-804
  • 42
    • 0342836162 scopus 로고    scopus 로고
    • On a triangular factorization of positive operators
    • Belishev M I and Pushnitski A B 1996 On a triangular factorization of positive operators Zap. Nauchn. Semin. POMI 239 45-60 (Engl. transl. J. Math. Sci. to appear)
    • (1996) Zap. Nauchn. Semin. POMI , vol.239 , pp. 45-60
    • Belishev, M.I.1    Pushnitski, A.B.2
  • 43
    • 3342939505 scopus 로고    scopus 로고
    • Engl. transl. to appear
    • Belishev M I and Pushnitski A B 1996 On a triangular factorization of positive operators Zap. Nauchn. Semin. POMI 239 45-60 (Engl. transl. J. Math. Sci. to appear)
    • J. Math. Sci.
  • 44
    • 3342913326 scopus 로고
    • Spectral variant of the BC method: Theory and numerical testing
    • Belishev M I, Ryzhov V A and Filippov V B 1994 Spectral variant of the BC method: theory and numerical testing Dokl. RAN 332 414-17 (Engl. transl. 1994 Phys. Dokl. 39 466-70)
    • (1994) Dokl. RAN , vol.332 , pp. 414-417
    • Belishev, M.I.1    Ryzhov, V.A.2    Filippov, V.B.3
  • 45
    • 3343008286 scopus 로고
    • Engl. transl.
    • Belishev M I, Ryzhov V A and Filippov V B 1994 Spectral variant of the BC method: theory and numerical testing Dokl. RAN 332 414-17 (Engl. transl. 1994 Phys. Dokl. 39 466-70)
    • (1994) Phys. Dokl. , vol.39 , pp. 466-470
  • 46
    • 3342999687 scopus 로고
    • The boundary control methods in the dynamical inverse problem for an inhomogeneous string
    • Belishev M I and Sheronova T L 1990 The boundary control methods in the dynamical inverse problem for an inhomogeneous string Zap. Nauchn. Semin. LOMI 186 37-50 (Engl. transl. 1995 J. Math. Sci. 73)
    • (1990) Zap. Nauchn. Semin. LOMI , vol.186 , pp. 37-50
    • Belishev, M.I.1    Sheronova, T.L.2
  • 47
    • 3342878669 scopus 로고
    • Engl. transl.
    • Belishev M I and Sheronova T L 1990 The boundary control methods in the dynamical inverse problem for an inhomogeneous string Zap. Nauchn. Semin. LOMI 186 37-50 (Engl. transl. 1995 J. Math. Sci. 73)
    • (1995) J. Math. Sci. , vol.73
  • 48
    • 0040540157 scopus 로고
    • On a local approach to the solving of dynamical inverse problem for inhomogeneous string
    • Blagovestchenskii A S 1971 On a local approach to the solving of dynamical inverse problem for inhomogeneous string Trudy MIAN V A Steklova 115 28-38
    • (1971) Trudy MIAN V A Steklova , vol.115 , pp. 28-38
    • Blagovestchenskii, A.S.1
  • 49
    • 0002477276 scopus 로고
    • The inverse scattering problem in the quantum mechanics-II
    • Faddeev L D 1974 The inverse scattering problem in the quantum mechanics-II. Sovremennye Prob. Mat. 3 93-180
    • (1974) Sovremennye Prob. Mat. , vol.3 , pp. 93-180
    • Faddeev, L.D.1
  • 51
    • 0014980163 scopus 로고
    • Inversion of the telegraph equation and the synthesis of nonuniform lines
    • Gopinath B and Sondhi M M 1971 Inversion of the telegraph equation and the synthesis of nonuniform lines Proc. IEEE 3 383-92
    • (1971) Proc. IEEE , vol.3 , pp. 383-392
    • Gopinath, B.1    Sondhi, M.M.2
  • 53
    • 0000003902 scopus 로고
    • Geodesic parallel coordinates in the large
    • Hartman P 1964 Geodesic parallel coordinates in the large Am. J. Math. 86 705-27
    • (1964) Am. J. Math. , vol.86 , pp. 705-727
    • Hartman, P.1
  • 55
    • 0039970398 scopus 로고
    • A uniqueness theorem for second order hyperbolic differential equation
    • Hömander L 1992 A uniqueness theorem for second order hyperbolic differential equation Comm. PDE 17 699-714
    • (1992) Comm. PDE , vol.17 , pp. 699-714
    • Hömander, L.1
  • 56
    • 84980075338 scopus 로고
    • On linear partial differential equations with analytic coefficients. Unique continuation of data
    • John F 1948 On linear partial differential equations with analytic coefficients. Unique continuation of data Comm. Pure Appl. Math. 2 209-53
    • (1948) Comm. Pure Appl. Math. , vol.2 , pp. 209-253
    • John, F.1
  • 57
    • 0038986245 scopus 로고
    • Incomplete spectral data and reconstruction of a Riemannian manifold
    • Kachalov A P and Kurylev Ya V 1993 Incomplete spectral data and reconstruction of a Riemannian manifold J. Inv. Ill-Posed Prob. 1 141-53
    • (1993) J. Inv. Ill-Posed Prob. , vol.1 , pp. 141-153
    • Kachalov, A.P.1    Kurylev, Ya.V.2
  • 60
    • 0010597417 scopus 로고
    • On admissible groups of transformations preserving boundary spectral data in multidimensional inverse problems
    • Kurylev Ya V 1992 On admissible groups of transformations preserving boundary spectral data in multidimensional inverse problems Dokl. RAN 327 322-5
    • (1992) Dokl. RAN , vol.327 , pp. 322-325
    • Kurylev, Ya.V.1
  • 61
    • 0040345651 scopus 로고
    • On the recovering of two coefficients in multidimensional isotropic inverse problem
    • _ 1994a On the recovering of two coefficients in multidimensional isotropic inverse problem Zap. Nauchn. Semin. POMI 210 158-63
    • (1994) Zap. Nauchn. Semin. POMI , vol.210 , pp. 158-163
  • 62
    • 0039160995 scopus 로고
    • Inverse boundary problems on Riemannian Manifolds
    • _ 1994b Inverse boundary problems on Riemannian Manifolds Contemp. Math. 173 181-92
    • (1994) Contemp. Math. , vol.173 , pp. 181-192
  • 63
    • 0000785441 scopus 로고
    • Non homogeneous boundary value problems for second order hyperbolic operators
    • Lasiecka I, Lions J-L and Triggiani R 1986 Non homogeneous boundary value problems for second order hyperbolic operators J. Math. Pures Appl. 65 149-92
    • (1986) J. Math. Pures Appl. , vol.65 , pp. 149-192
    • Lasiecka, I.1    Lions, J.-L.2    Triggiani, R.3
  • 65
    • 0023966723 scopus 로고
    • Exact controllability, stabilization and perturbations for distributed systems
    • _ 1988 Exact controllability, stabilization and perturbations for distributed systems SIAM Rev. 30 1-68
    • (1988) SIAM Rev. , vol.30 , pp. 1-68
  • 67
    • 0001875067 scopus 로고
    • A multidimensional inverse spectral problem for the equation -ΔΨ + (ν(χ) - Eu(χ))Psi; = 0
    • Novikov R G 1988 A multidimensional inverse spectral problem for the equation -ΔΨ + (ν(χ) - Eu(χ))Psi; = 0 Funk. Anal. i Prilozhen. 22 11-22 (Engl. transl. 1988 Func. Anal. Appl. 22 263-72)
    • (1988) Funk. Anal. I Prilozhen. , vol.22 , pp. 11-22
    • Novikov, R.G.1
  • 68
    • 34249973239 scopus 로고
    • Engl. transl.
    • Novikov R G 1988 A multidimensional inverse spectral problem for the equation -ΔΨ + (ν(χ) - Eu(χ))Psi; = 0 Funk. Anal. i Prilozhen. 22 11-22 (Engl. transl. 1988 Func. Anal. Appl. 22 263-72)
    • (1988) Func. Anal. Appl. , vol.22 , pp. 263-272
  • 69
    • 0000717548 scopus 로고
    • Theoreme d'unicite adapte an controle des solutions des problemes hyperboliques
    • Robbiano L 1991 Theoreme d'unicite adapte an controle des solutions des problemes hyperboliques Comm. PDE 16 789-800
    • (1991) Comm. PDE , vol.16 , pp. 789-800
    • Robbiano, L.1
  • 70
    • 0015008050 scopus 로고
    • Boundary value control theory of the higher-dimensional wave equation
    • Russell D L 1971 Boundary value control theory of the higher-dimensional wave equation SIAM J. Control 9 29-42
    • (1971) SIAM J. Control , vol.9 , pp. 29-42
    • Russell, D.L.1
  • 71
    • 0000820706 scopus 로고
    • Controllability and stabilizability theory for linear partial differential equations
    • _ 1978 Controllability and stabilizability theory for linear partial differential equations SIAM Rev. 20 639-739
    • (1978) SIAM Rev. , vol.20 , pp. 639-739
  • 72
    • 0015069250 scopus 로고
    • Determination of vocal-tract shape from impulse response at the lips
    • Sondhi M M and Gopinath B 1971 Determination of vocal-tract shape from impulse response at the lips J. Acoust. Soc. Am. 49 1867-73
    • (1971) J. Acoust. Soc. Am. , vol.49 , pp. 1867-1873
    • Sondhi, M.M.1    Gopinath, B.2
  • 73
    • 0001461425 scopus 로고
    • Inverse problems in anisotropic media
    • Sylvester J and Uhlmann G 1991 Inverse problems in anisotropic media Contemp. Math. 122 105-17
    • (1991) Contemp. Math. , vol.122 , pp. 105-117
    • Sylvester, J.1    Uhlmann, G.2
  • 75
    • 84957249045 scopus 로고
    • Unique continuation for solutions to PDE's; between Hormander's theorem and Holmgren's theorem
    • _ 1995 Unique continuation for solutions to PDE's; between Hormander's theorem and Holmgren's theorem Comm. PDE 20 855-84
    • (1995) Comm. PDE , vol.20 , pp. 855-884
  • 77
    • 0001147202 scopus 로고
    • Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
    • Yamamoto M 1995 Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method Inverse Problems 11 481-96
    • (1995) Inverse Problems , vol.11 , pp. 481-496
    • Yamamoto, M.1


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