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## Isakov, Victor M.

Compute Distance To:
 Author ID: isakov.victor Published as: Isakov, Victor; Isakov, V. M.; Isakov, V.; Iskaov, Victor Homepage: http://www.math.wichita.edu/~isakov/ External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · IdRef
 Documents Indexed: 152 Publications since 1971, including 4 Books 1 Contribution as Editor Reviewing Activity: 116 Reviews
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#### Co-Authors

 90 single-authored 8 Yamamoto, Masahiro 7 Wang, Jenn-Nan 5 Lu, Shuai 4 Kim, Nanhee 3 Bouchouev, Ilia 3 Cheng, Jin 3 DeLillo, Thomas K. 3 Elayyan, Alaeddin 3 Nakamura, Gen 3 Valdivia, Nicolas P. 2 Alessandrini, Giovanni 2 Belishev, Mikhail Igorevitch 2 Bukhgeǐm, Alexandre L. 2 Elcrat, Alan R. 2 Eller, Matthias M. 2 Entekhabi, Mozhgan Nora 2 Friedman, Avner 2 Hrycak, Tomasz 2 Imanuvilov, Oleg Yu. 2 Kindermann, Stefan 2 Leung, Shingyu 2 Powell, Jeffrey O. 2 Qian, Jianliang 2 Subbarayappa, Deepak Aralumallige 2 Sun, Ziqi 2 Wang, Lianju 1 Ames, Karen A. 1 Bellout, Hamid 1 Deng, Zuicha 1 Dyatlov, Gleb V. 1 Hon, Yiu-Chung 1 Kabanikhin, Sergeĭ Igorevich 1 Kim, Kyoungsun 1 Kropf, Everett H. 1 Lai, Ru-Yu 1 Nachman, Adrian I. 1 Nagayasu, Sei 1 Neculoiu, Octavian 1 Pestov, L. N. 1 Sever, Ali 1 Shananin, Aleksandr Alekseevich 1 Sharafutdinov, Vladimir A. 1 Shishlenin, Maxim Aleksandrovich 1 Sylvester, John Herbert 1 Tataru, Daniel 1 Uhlmann, Gunther Alberto 1 Wu, Sean F. 1 Xu, Boxi
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#### Serials

 20 Inverse Problems 9 Differentsial’nye Uravneniya 9 Differential Equations 8 Soviet Mathematics. Doklady 7 Communications in Partial Differential Equations 7 Inverse Problems and Imaging 5 Communications on Pure and Applied Mathematics 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Siberian Mathematical Journal 4 SIAM Journal on Applied Mathematics 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Transactions of the American Mathematical Society 3 Applied Mathematical Sciences 2 Indiana University Mathematics Journal 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Journal of Inverse and Ill-Posed Problems 2 Evolution Equations and Control Theory 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Matematicheskie Zametki 1 Control and Cybernetics 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematics of Kyoto University 1 European Journal of Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Quantitative Finance 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Computational Acoustics 1 Mathematical Surveys and Monographs 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 140 Partial differential equations (35-XX) 28 Potential theory (31-XX) 20 Optics, electromagnetic theory (78-XX) 19 Mechanics of deformable solids (74-XX) 15 Numerical analysis (65-XX) 9 Geophysics (86-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

113 Publications have been cited 2,168 times in 1,379 Documents Cited by Year
Inverse problems for partial differential equations. 2nd ed. Zbl 1092.35001
Isakov, Victor
2006
Inverse problems for partial differential equations. Zbl 0908.35134
Isakov, Victor
1998
Inverse source problems. Zbl 0721.31002
Isakov, Victor
1990
Inverse parabolic problems with the final overdetermination. Zbl 0729.35146
Isakov, Victor
1991
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
1999
Carleman type estimates in an anisotropic case and applications. Zbl 0851.35028
Isakov, Victor
1993
On uniqueness in inverse problems for semilinear parabolic equations. Zbl 0804.35150
Isakov, V.
1993
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
Isakov, Victor
2007
On uniqueness of recovery of a discontinuous conductivity coefficient. Zbl 0676.35082
Isakov, Victor
1988
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
2002
Inverse problems for partial differential equations. 3rd edition. Zbl 1366.65087
Isakov, Victor
2017
The inverse problem of option pricing. Zbl 0894.90014
Bouchouev, Ilia; Isakov, Victor
1997
Global uniqueness for a two-dimensional semilinear elliptic inverse problem. Zbl 0849.35148
1995
On uniqueness in the inverse transmission scattering problem. Zbl 0728.35148
Isakov, Victor
1990
An inverse problem for the dynamical Lamé system with two sets of boundary data. Zbl 1044.35105
Imanuvilov, Oleg; Isakov, Victor; Yamamoto, Masahiro
2003
Completeness of products of solutions and some inverse problems for PDE. Zbl 0728.35141
Isakov, Victor
1991
Global uniqueness for a semilinear elliptic inverse problem. Zbl 0817.35126
Isakov, Victor; Sylvester, John
1994
On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165
Friedman, Avner; Isakov, Victor
1989
Increasing stability in the inverse source problem with many frequencies. Zbl 1401.35339
Cheng, Jin; Isakov, Victor; Lu, Shuai
2016
The detection of the source of acoustical noise in two dimensions. Zbl 0983.35149
DeLillo, Thomas; Isakov, Victor; Valdivia, Nicolas; Wang, Lianju
2001
Stability estimates for hyperbolic inverse problems with local boundary data. Zbl 0754.35184
Isakov, Victor; Sun, Ziqi
1992
Increased stability in the continuation of solutions to the Helmholtz equation. Zbl 1086.35080
Hrycak, Tomasz; Isakov, Victor
2004
An inverse hyperbolic problem with many boundary measurements. Zbl 0739.35105
Isakov, Victor
1991
The detection of surface vibrations from interior acoustical pressure. Zbl 1033.76053
DeLillo, Thomas; Isakov, Victor; Valdivia, Nicolas; Wang, Lianju
2003
Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map. Zbl 1210.35289
Isakov, Victor
2011
New stability results for soft obstacles in inverse scattering. Zbl 0789.35174
Isakov, Victor
1993
Inverse obstacle problems. Zbl 1181.35334
Isakov, Victor
2009
A nonhyperbolic Cauchy problem for $$\square _ b\square _ c$$ and its applications to elasticity theory. Zbl 0649.35015
Isakov, Victor
1986
Increasing stability in the inverse source problem with attenuation and many frequencies. Zbl 1391.35419
Isakov, Victor; Lu, Shuai
2018
Carleman estimates and applications to inverse problems. Zbl 1118.35070
Isakov, Victor
2004
Some inverse problems for the diffusion equation. Zbl 0918.35145
Isakov, Victor
1999
Uniqueness and stability in multi-dimensional inverse problems. Zbl 0924.35195
Isakov, Victor
1993
Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems. Zbl 1004.35028
Isakov, Victor; Yamamoto, Masahiro
2000
Subspaces of stability in the Cauchy problem for the Helmholtz equation. Zbl 1275.35084
Isakov, Victor; Kindermann, Stefan
2011
Stability for an inverse problem in potential theory. Zbl 0789.31004
Bellout, Hamid; Friedman, Avner; Isakov, Victor
1992
A fast local level set method for inverse gravimetry. Zbl 1373.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2011
Stability estimates for obstacles in inverse scattering. Zbl 0767.65090
Isakov, Victor
1992
Increased stability in the continuation for the Helmholtz equation with variable coefficient. Zbl 1132.35021
Isakov, Victor
2007
On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data. Zbl 1158.35104
Isakov, Victor
2008
On the inverse conductivity problem with one measurement. Zbl 0724.35108
Isakov, Victor; Powell, Jeffrey
1990
Local uniqueness in the inverse conductivity problem with one measurement. Zbl 0864.35114
Alessandrini, G.; Isakov, V.; Powell, J.
1995
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map. Zbl 1328.35312
Isakov, Victor; Wang, Jenn-Nan
2014
Uniqueness of recovery of some quasilinear partial differential equations. Zbl 0997.35018
Isakov, Victor
2001
Analyticity and uniqueness for the inverse conductivity problem. Zbl 0887.35157
Alessandrini, Giovanni; Isakov, Victor
1996
Identification of the diffusion coefficient in a one-dimensional parabolic equation. Zbl 0962.35188
Isakov, Victor; Kindermann, Stefan
2000
Increasing stability for the conductivity and attenuation coefficients. Zbl 1338.35496
Isakov, Victor; Lai, Ru-Yu; Wang, Jenn-Nan
2016
Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress. Zbl 1156.35484
Isakov, Victor; Kim, Nanhee
2008
Uniqueness of recovery of some systems of semilinear partial differential equations. Zbl 0984.35168
Isakov, Victor
2001
Uniqueness in determining damping coefficients in hyperbolic equations. Zbl 0994.35119
Bukhgeim, A. L.; Cheng, J.; Isakov, V.; Yamamoto, M.
2001
Lipschitz stability in the lateral Cauchy problem for elasticity system. Zbl 1067.35142
Cheng, Jin; Isakov, Victor; Yamamoto, Masahiro; Zhou, Qi
2003
On finding a surface crack from boundary measurements. Zbl 0822.35147
Elcrat, Alan R.; Isakov, Victor; Neculoiu, Octavian
1995
Inverse source problems without (pseudo) convexity assumptions. Zbl 1395.35213
Isakov, Victor; Lu, Shuai
2018
On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation. Zbl 0870.35124
Elayyan, Alaeddin; Iskaov, Victor
1997
Recovery of time dependent volatility coefficient by linearization. Zbl 1291.35444
Isakov, Victor
2014
On increasing stability in the two dimensional inverse source scattering problem with many frequencies. Zbl 06897203
Entekhabi, Mozhgan Nora; Isakov, Victor
2018
On theory and application of the Helmholtz equation least squares method in inverse acoustics. Zbl 1022.35087
Isakov, Victor; Wu, Sean F.
2002
Recovery of volatility coefficient by linearization. Zbl 1405.91590
Bouchouev, Ilia; Isakov, Victor; Valdivia, Nicolas
2002
Reconstruction of an unknown inclusion by thermography. Zbl 1215.35169
Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen
2010
Uniqueness for inverse parabolic problems with a lateral overdetermination. Zbl 0694.35216
Isakov, Victor
1989
Carleman type estimates and their applications. Zbl 1062.35165
Isakov, Victor
2004
Recovery of time-dependent volatility in option pricing model. Zbl 1371.91191
Deng, Zui-Cha; Hon, Y. C.; Isakov, V.
2016
Increasing stability of the inverse boundary value problem for the Schrödinger equation. Zbl 1330.35531
Isakov, V.; Nagayasu, S.; Uhlmann, G.; Wang, J.-N.
2014
Carleman estimates with two large parameters and applications. Zbl 0973.35042
Eller, Matthias M.; Isakov, Victor
2000
An inverse problem for a dynamical Lamé system with residual stress. Zbl 1155.35489
Isakov, Victor; Wang, Jenn-Nan; Yamamoto, Masahiro
2007
On uniqueness in a lateral Cauchy problem with multiple characteristics. Zbl 0868.35013
Isakov, Victor
1997
The inverse scattering at fixed energies in two dimensions. Zbl 0855.35128
Isakov, Victor; Sun, Ziqi
1995
New realization of the pseudoconvexity and its application to an inverse problem. Zbl 1181.35141
Imanuvilov, Oleg Yu; Isakov, Victor; Yamamoto, Masahiro
2009
Inverse theorems concerning the smoothness of potentials. Zbl 0328.31010
Isakov, V. M.
1976
On a class of inverse problems for parabolic equations. Zbl 0547.35114
Isakov, V. M.
1982
Uniqueness of the continuation across a time-like hyperplane and related inverse problems for hyperbolic equations. Zbl 0675.35086
Isakov, Victor
1989
A three-dimensional inverse gravimetry problem for ice with snow caps. Zbl 1264.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2013
Increasing stability of the continuation for the Maxwell system. Zbl 1197.35284
Subbarayappa, Deepak Aralumallige; Isakov, Victor
2010
Carleman estimates with second large parameter for second order operators. Zbl 1171.35021
Isakov, Victor; Kim, Nanhee
2009
On the reconstruction of a metric from external electromagnetic measurements. Zbl 1048.35132
Belishev, M. I.; Isakov, V. M.; Pestov, L. N.; Sharafutdinov, V. A.
2000
On the uniqueness of the solution of the Cauchy problem. Zbl 0468.35030
Isakov, V. M.
1980
On an inverse diffusion problem. Zbl 0889.35115
Elayyan, Alaeddin; Isakov, Victor
1997
On inverse problems in secondary oil recovery. Zbl 1208.35171
Isakov, Victor
2008
On the uniqueness of the continuation for a thermoelasticity system. Zbl 1001.35018
Isakov, Victor
2001
Stability in a wave source problem by Dirichlet data on subboundary. Zbl 1048.35135
Isakov, V.; Yamamoto, M.
2003
On increased stability in the continuation of the Helmholtz equation. Zbl 1127.35082
Subbarayappa, Deepak Aralumallige; Isakov, Victor
2007
Analyticity of solutions of nonlinear transmission problems. Zbl 0343.35035
Isakov, V. M.
1977
Increasing stability in acoustic and elastic inverse source problems. Zbl 07269946
Entekhabi, Mozhgan; Isakov, Victor
2020
Numerical implementation of an integral equation method for the inverse conductivity problem. Zbl 0861.35138
Isakov, Victor; Sever, Ali
1996
Stability of memory reconstruction from the Dirichlet-to-Neumann operator. Zbl 0880.45006
Bukhgejm, A. L.; Dyatlov, G. V.; Isakov, V. M.
1997
On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data. Zbl 1082.35161
Belishev, M. I.; Isakov, V. M.
2002
Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress. Zbl 1054.35106
Isakov, Victor; Nakamura, Gen; Wang, Jenn-Nan
2003
Uniqueness of a solution of the inverse contact problem in potential theory. Zbl 0228.31005
Isakov, V. M.
1972
On the uniqueness of the continuation of the solutions of hyperbolic equations. Zbl 0505.35050
Isakov, V. M.
1982
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
2019
Uniqueness theorems for inverse problems of heat potentials. Zbl 0355.31007
Isakov, V. M.
1976
Linearized inverse Schrödinger potential problem at a large wavenumber. Zbl 1430.35267
Isakov, Victor; Lu, Shuai; Xu, Boxi
2020
On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
2019
Sobolev spaces in mathematics. III: Applications in mathematical physics. Zbl 1152.46001
2009
Uniqueness of recovery of some systems of quasilinear elliptic and parabolic partial differential equations. Zbl 1033.35052
Isakov, Victor
2002
The inverse problem of option pricing. Zbl 1057.35091
Isakov, Victor
2003
On uniqueness in the general inverse transmisson problem. Zbl 1143.35387
Isakov, Victor
2008
An explicit stability estimate for an ill-posed Cauchy problem for the wave equation. Zbl 0747.35002
Ames, K. A.; Isakov, Victor
1991
An inverse problem for the dynamical Lame system with two sets of local boundary data. Zbl 1089.35088
Isakov, Victor
2005
Uniqueness and stability of determining the residual stress by one measurement. Zbl 1155.35109
Isakov, Victor; Wang, Jenn-Nan; Yamamoto, Masahiro
2007
Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress. Zbl 1189.35393
Isakov, Victor; Kim, Nanhee
2010
Uniqueness and increasing stability in electromagnetic inverse source problems. Zbl 1459.35350
Isakov, Victor; Wang, Jenn-Nan
2021
Increasing stability in acoustic and elastic inverse source problems. Zbl 07269946
Entekhabi, Mozhgan; Isakov, Victor
2020
Linearized inverse Schrödinger potential problem at a large wavenumber. Zbl 1430.35267
Isakov, Victor; Lu, Shuai; Xu, Boxi
2020
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
2019
On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
2019
Increasing stability in the inverse source problem with attenuation and many frequencies. Zbl 1391.35419
Isakov, Victor; Lu, Shuai
2018
Inverse source problems without (pseudo) convexity assumptions. Zbl 1395.35213
Isakov, Victor; Lu, Shuai
2018
On increasing stability in the two dimensional inverse source scattering problem with many frequencies. Zbl 06897203
Entekhabi, Mozhgan Nora; Isakov, Victor
2018
Inverse problems for partial differential equations. 3rd edition. Zbl 1366.65087
Isakov, Victor
2017
Increasing stability in the inverse source problem with many frequencies. Zbl 1401.35339
Cheng, Jin; Isakov, Victor; Lu, Shuai
2016
Increasing stability for the conductivity and attenuation coefficients. Zbl 1338.35496
Isakov, Victor; Lai, Ru-Yu; Wang, Jenn-Nan
2016
Recovery of time-dependent volatility in option pricing model. Zbl 1371.91191
Deng, Zui-Cha; Hon, Y. C.; Isakov, V.
2016
Increasing stability for near field from the scattering amplitude. Zbl 1346.35232
Isakov, Victor
2015
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map. Zbl 1328.35312
Isakov, Victor; Wang, Jenn-Nan
2014
Recovery of time dependent volatility coefficient by linearization. Zbl 1291.35444
Isakov, Victor
2014
Increasing stability of the inverse boundary value problem for the Schrödinger equation. Zbl 1330.35531
Isakov, V.; Nagayasu, S.; Uhlmann, G.; Wang, J.-N.
2014
Increasing stability of the continuation for general elliptic equations of second order. Zbl 1383.35039
Isakov, Victor
2014
A three-dimensional inverse gravimetry problem for ice with snow caps. Zbl 1264.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2013
A stability analysis of the harmonic continuation. Zbl 1247.35200
Elcrat, A.; Isakov, Victor; Kropf, E.; Stewart, D.
2012
Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map. Zbl 1210.35289
Isakov, Victor
2011
Subspaces of stability in the Cauchy problem for the Helmholtz equation. Zbl 1275.35084
Isakov, Victor; Kindermann, Stefan
2011
A fast local level set method for inverse gravimetry. Zbl 1373.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2011
Reconstruction of an unknown inclusion by thermography. Zbl 1215.35169
Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen
2010
Increasing stability of the continuation for the Maxwell system. Zbl 1197.35284
Subbarayappa, Deepak Aralumallige; Isakov, Victor
2010
Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress. Zbl 1189.35393
Isakov, Victor; Kim, Nanhee
2010
Inverse obstacle problems. Zbl 1181.35334
Isakov, Victor
2009
New realization of the pseudoconvexity and its application to an inverse problem. Zbl 1181.35141
Imanuvilov, Oleg Yu; Isakov, Victor; Yamamoto, Masahiro
2009
Carleman estimates with second large parameter for second order operators. Zbl 1171.35021
Isakov, Victor; Kim, Nanhee
2009
Sobolev spaces in mathematics. III: Applications in mathematical physics. Zbl 1152.46001
2009
On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data. Zbl 1158.35104
Isakov, Victor
2008
Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress. Zbl 1156.35484
Isakov, Victor; Kim, Nanhee
2008
On inverse problems in secondary oil recovery. Zbl 1208.35171
Isakov, Victor
2008
On uniqueness in the general inverse transmisson problem. Zbl 1143.35387
Isakov, Victor
2008
Increased stability in the Cauchy problem for some elliptic equations. Zbl 1147.35019
Isakov, Victor
2008
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
Isakov, Victor
2007
Increased stability in the continuation for the Helmholtz equation with variable coefficient. Zbl 1132.35021
Isakov, Victor
2007
An inverse problem for a dynamical Lamé system with residual stress. Zbl 1155.35489
Isakov, Victor; Wang, Jenn-Nan; Yamamoto, Masahiro
2007
On increased stability in the continuation of the Helmholtz equation. Zbl 1127.35082
Subbarayappa, Deepak Aralumallige; Isakov, Victor
2007
Uniqueness and stability of determining the residual stress by one measurement. Zbl 1155.35109
Isakov, Victor; Wang, Jenn-Nan; Yamamoto, Masahiro
2007
Inverse problems for partial differential equations. 2nd ed. Zbl 1092.35001
Isakov, Victor
2006
An inverse problem for the dynamical Lame system with two sets of local boundary data. Zbl 1089.35088
Isakov, Victor
2005
Theory and boundary element methods for near-field acoustic holography. Zbl 1137.76422
Delillo, Thomas; Hrycak, Tomasz; Isakov, Victor
2005
Increased stability in the continuation of solutions to the Helmholtz equation. Zbl 1086.35080
Hrycak, Tomasz; Isakov, Victor
2004
Carleman estimates and applications to inverse problems. Zbl 1118.35070
Isakov, Victor
2004
Carleman type estimates and their applications. Zbl 1062.35165
Isakov, Victor
2004
An inverse problem for the dynamical Lamé system with two sets of boundary data. Zbl 1044.35105
Imanuvilov, Oleg; Isakov, Victor; Yamamoto, Masahiro
2003
The detection of surface vibrations from interior acoustical pressure. Zbl 1033.76053
DeLillo, Thomas; Isakov, Victor; Valdivia, Nicolas; Wang, Lianju
2003
Lipschitz stability in the lateral Cauchy problem for elasticity system. Zbl 1067.35142
Cheng, Jin; Isakov, Victor; Yamamoto, Masahiro; Zhou, Qi
2003
Stability in a wave source problem by Dirichlet data on subboundary. Zbl 1048.35135
Isakov, V.; Yamamoto, M.
2003
Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress. Zbl 1054.35106
Isakov, Victor; Nakamura, Gen; Wang, Jenn-Nan
2003
The inverse problem of option pricing. Zbl 1057.35091
Isakov, Victor
2003
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
2002
On theory and application of the Helmholtz equation least squares method in inverse acoustics. Zbl 1022.35087
Isakov, Victor; Wu, Sean F.
2002
Recovery of volatility coefficient by linearization. Zbl 1405.91590
Bouchouev, Ilia; Isakov, Victor; Valdivia, Nicolas
2002
On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data. Zbl 1082.35161
Belishev, M. I.; Isakov, V. M.
2002
Uniqueness of recovery of some systems of quasilinear elliptic and parabolic partial differential equations. Zbl 1033.35052
Isakov, Victor
2002
The detection of the source of acoustical noise in two dimensions. Zbl 0983.35149
DeLillo, Thomas; Isakov, Victor; Valdivia, Nicolas; Wang, Lianju
2001
Uniqueness of recovery of some quasilinear partial differential equations. Zbl 0997.35018
Isakov, Victor
2001
Uniqueness of recovery of some systems of semilinear partial differential equations. Zbl 0984.35168
Isakov, Victor
2001
Uniqueness in determining damping coefficients in hyperbolic equations. Zbl 0994.35119
Bukhgeim, A. L.; Cheng, J.; Isakov, V.; Yamamoto, M.
2001
On the uniqueness of the continuation for a thermoelasticity system. Zbl 1001.35018
Isakov, Victor
2001
Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems. Zbl 1004.35028
Isakov, Victor; Yamamoto, Masahiro
2000
Identification of the diffusion coefficient in a one-dimensional parabolic equation. Zbl 0962.35188
Isakov, Victor; Kindermann, Stefan
2000
Carleman estimates with two large parameters and applications. Zbl 0973.35042
Eller, Matthias M.; Isakov, Victor
2000
On the reconstruction of a metric from external electromagnetic measurements. Zbl 1048.35132
Belishev, M. I.; Isakov, V. M.; Pestov, L. N.; Sharafutdinov, V. A.
2000
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
1999
Some inverse problems for the diffusion equation. Zbl 0918.35145
Isakov, Victor
1999
Inverse problems for partial differential equations. Zbl 0908.35134
Isakov, Victor
1998
The inverse problem of option pricing. Zbl 0894.90014
Bouchouev, Ilia; Isakov, Victor
1997
On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation. Zbl 0870.35124
Elayyan, Alaeddin; Iskaov, Victor
1997
On uniqueness in a lateral Cauchy problem with multiple characteristics. Zbl 0868.35013
Isakov, Victor
1997
On an inverse diffusion problem. Zbl 0889.35115
Elayyan, Alaeddin; Isakov, Victor
1997
Stability of memory reconstruction from the Dirichlet-to-Neumann operator. Zbl 0880.45006
Bukhgejm, A. L.; Dyatlov, G. V.; Isakov, V. M.
1997
On reconstruction of the diffusion and of the principal coefficient of a hyperbolic equation. Zbl 0881.35124
Isakov, Victor
1997
Analyticity and uniqueness for the inverse conductivity problem. Zbl 0887.35157
Alessandrini, Giovanni; Isakov, Victor
1996
Numerical implementation of an integral equation method for the inverse conductivity problem. Zbl 0861.35138
Isakov, Victor; Sever, Ali
1996
On uniqueness for a discontinuity surface of the speed of propagation. Zbl 0857.35133
Isakov, Victor
1996
Global uniqueness for a two-dimensional semilinear elliptic inverse problem. Zbl 0849.35148
1995
Local uniqueness in the inverse conductivity problem with one measurement. Zbl 0864.35114
Alessandrini, G.; Isakov, V.; Powell, J.
1995
On finding a surface crack from boundary measurements. Zbl 0822.35147
Elcrat, Alan R.; Isakov, Victor; Neculoiu, Octavian
1995
The inverse scattering at fixed energies in two dimensions. Zbl 0855.35128
Isakov, Victor; Sun, Ziqi
1995
Uniqueness and stability in inverse parabolic problems. Zbl 0839.35145
Isakov, Victor
1995
Global uniqueness for a semilinear elliptic inverse problem. Zbl 0817.35126
Isakov, Victor; Sylvester, John
1994
Carleman type estimates in an anisotropic case and applications. Zbl 0851.35028
Isakov, Victor
1993
On uniqueness in inverse problems for semilinear parabolic equations. Zbl 0804.35150
Isakov, V.
1993
New stability results for soft obstacles in inverse scattering. Zbl 0789.35174
Isakov, Victor
1993
Uniqueness and stability in multi-dimensional inverse problems. Zbl 0924.35195
Isakov, Victor
1993
Prospecting discontinuities by boundary measurements. Zbl 0798.35157
Isakov, Victor
1993
Stability estimates for hyperbolic inverse problems with local boundary data. Zbl 0754.35184
Isakov, Victor; Sun, Ziqi
1992
Stability for an inverse problem in potential theory. Zbl 0789.31004
Bellout, Hamid; Friedman, Avner; Isakov, Victor
1992
Stability estimates for obstacles in inverse scattering. Zbl 0767.65090
Isakov, Victor
1992
Inverse parabolic problems with the final overdetermination. Zbl 0729.35146
Isakov, Victor
1991
Completeness of products of solutions and some inverse problems for PDE. Zbl 0728.35141
Isakov, Victor
1991
An inverse hyperbolic problem with many boundary measurements. Zbl 0739.35105
Isakov, Victor
1991
An explicit stability estimate for an ill-posed Cauchy problem for the wave equation. Zbl 0747.35002
Ames, K. A.; Isakov, Victor
1991
Inverse source problems. Zbl 0721.31002
Isakov, Victor
1990
On uniqueness in the inverse transmission scattering problem. Zbl 0728.35148
Isakov, Victor
1990
On the inverse conductivity problem with one measurement. Zbl 0724.35108
Isakov, Victor; Powell, Jeffrey
1990
On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165
Friedman, Avner; Isakov, Victor
1989
Uniqueness for inverse parabolic problems with a lateral overdetermination. Zbl 0694.35216
Isakov, Victor
1989
...and 13 more Documents
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#### Cited by 1,351 Authors

 65 Yamamoto, Masahiro 32 Bellassoued, Mourad 32 Isakov, Victor M. 30 Uhlmann, Gunther Alberto 23 Lesnic, Daniel 20 Hu, Guanghui 20 Liu, Hongyu 20 Yang, Liu 19 Deng, Zuicha 19 Klibanov, Michael V. 19 Nakamura, Gen 19 Vessella, Sergio 18 Kian, Yavar 17 Lassas, Matti J. 17 Salo, Mikko 16 Li, Jingzhi 16 Li, Peijun 15 Denisov, Alexander Mikhailovich 15 Imanuvilov, Oleg Yu. 15 Kostin, Andrey B. 15 Slodička, Marián 14 Choulli, Mourad 14 Lin, Yi-Hsuan 13 Lasiecka, Irena 13 Liu, Jijun 12 Alessandrini, Giovanni 12 Lu, Shuai 12 Marin, Liviu 12 Wang, Jenn-Nan 11 Bao, Gang 11 Cheng, Jin 11 Ikehata, Masaru 11 Kamynin, Vitaly L. 11 Romanov, Vladimir Gavrilovich 11 Sini, Mourad 10 Balachandran, Krishnan 10 Kaltenbacher, Barbara 10 Oksanen, Lauri 10 Rondi, Luca 10 Yu, Jianning 9 Fu, Chuli 9 Harrach, Bastian 9 Jin, Bangti 9 Li, Shumin 9 Pyatkov, Sergeĭ Grigor’evich 9 Triggiani, Roberto 9 Vabishchevich, Pëtr Nikolaevich 8 Gong, Rongfang 8 Hasanoǧlu, Alemdar 8 Ingham, Derek Binns 8 Kenig, Carlos Eduardo 8 Ma, Fuming 8 Sun, Yao 8 Triki, Faouzi 8 Wang, Haibing 7 Ammari, Habib M. 7 Belishev, Mikhail Igorevitch 7 Cheng, Xiaoliang 7 Cristofol, Michel 7 Di Cristo, Michele 7 Đinh Nho Hào 7 Eller, Matthias M. 7 Elliott, Lionel 7 Johansson, B. Tomas 7 Kokurin, Mikhail Yur’evich 7 Kress, Rainer 7 Kurylev, Yaroslav V. 7 Li, Gongsheng 7 Liu, Shitao 7 Novotny, Antonio André 7 Prilepko, Alekseĭ Ivanovich 7 Rundell, William 7 Sun, Ziqi 7 Vashisth, Manmohan 7 Vasil’ev, Vasiliĭ Ivanovich 7 Zou, Jun 6 Ashyralyev, Allaberen 6 Beretta, Elena 6 Bin-Mohsin, Bandar 6 De Cezaro, Adriano 6 Demir, Ali 6 Fernández-Cara, Enrique 6 Francini, Elisa 6 Friedman, Avner 6 Gaitan, Patricia 6 Han, Weimin 6 Hon, Yiu-Chung 6 Lai, Ru-Yu 6 Ozbilge, Ebru 6 Ponce, Gustavo 6 Sakthivel, Kumarasamy 6 Scherzer, Otmar 6 Shahgholian, Henrik 6 Soccorsi, Eric 6 Wang, Zewen 6 Zhao, Yue 5 Ben Aïcha, Ibtissem 5 Bourgeois, Laurent 5 Cârstea, Cătălin Ion 5 Dehghan Takht Fooladi, Mehdi ...and 1,251 more Authors
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#### Cited in 257 Serials

 70 Applicable Analysis 64 Inverse Problems 62 Journal of Inverse and Ill-Posed Problems 60 Journal of Mathematical Analysis and Applications 48 Journal of Differential Equations 46 Communications in Partial Differential Equations 43 Inverse Problems and Imaging 42 Inverse Problems in Science and Engineering 36 Journal of Computational and Applied Mathematics 33 SIAM Journal on Mathematical Analysis 30 Applied Mathematics and Computation 24 Computers & Mathematics with Applications 22 Differential Equations 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Applied Mathematical Modelling 19 Applied Mathematics Letters 17 Transactions of the American Mathematical Society 17 SIAM Journal on Applied Mathematics 16 Computational Mathematics and Mathematical Physics 16 Journal of Mathematical Sciences (New York) 15 Journal of Computational Physics 14 Proceedings of the American Mathematical Society 14 Applied Numerical Mathematics 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Communications in Mathematical Physics 11 Journal of Functional Analysis 10 Mathematical Methods in the Applied Sciences 10 Siberian Mathematical Journal 10 Engineering Analysis with Boundary Elements 10 Doklady Mathematics 9 Archive for Rational Mechanics and Analysis 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Optimization Theory and Applications 9 Chinese Annals of Mathematics. Series B 9 Mathematical Control and Related Fields 8 Mathematical Notes 8 Applied Mathematics and Optimization 7 Mathematics and Computers in Simulation 7 Journal of Scientific Computing 7 International Journal of Computer Mathematics 7 Mathematical Problems in Engineering 6 Advances in Mathematics 6 Mathematische Annalen 6 SIAM Journal on Numerical Analysis 6 Nonlinear Analysis. Real World Applications 6 Quantitative Finance 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Boundary Value Problems 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 SIAM Journal on Imaging Sciences 5 Journal of Mathematical Physics 5 Wave Motion 5 Numerische Mathematik 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Scientific Computing 5 The Journal of Fourier Analysis and Applications 5 Advances in Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Biology 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Computing 4 Duke Mathematical Journal 4 Numerical Functional Analysis and Optimization 4 Acta Applicandae Mathematicae 4 Acta Mathematicae Applicatae Sinica. English Series 4 Computational Mechanics 4 Advances in Computational Mathematics 4 International Journal of Applied Mathematics and Computer Science 4 Journal of Applied Mathematics 4 Journal of Computational Acoustics 3 Inventiones Mathematicae 3 Proceedings of the Japan Academy. Series A 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 SIAM Journal on Control and Optimization 3 Advances in Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Bulletin of the Iranian Mathematical Society 3 Numerical Methods for Partial Differential Equations 3 Computational and Applied Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 3 Fractional Calculus & Applied Analysis 3 Journal of the European Mathematical Society (JEMS) 3 Multiscale Modeling & Simulation 3 Complex Variables and Elliptic Equations 3 Mathematical Modelling of Natural Phenomena 2 International Journal of Engineering Science 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 Mathematical Biosciences 2 Ukrainian Mathematical Journal 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Economic Dynamics & Control 2 Journal of the American Mathematical Society 2 Forum Mathematicum ...and 157 more Serials
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#### Cited in 44 Fields

 1,138 Partial differential equations (35-XX) 426 Numerical analysis (65-XX) 155 Optics, electromagnetic theory (78-XX) 111 Mechanics of deformable solids (74-XX) 103 Calculus of variations and optimal control; optimization (49-XX) 70 Fluid mechanics (76-XX) 68 Systems theory; control (93-XX) 60 Operator theory (47-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Biology and other natural sciences (92-XX) 53 Classical thermodynamics, heat transfer (80-XX) 46 Potential theory (31-XX) 38 Global analysis, analysis on manifolds (58-XX) 37 Integral equations (45-XX) 33 Ordinary differential equations (34-XX) 29 Probability theory and stochastic processes (60-XX) 28 Quantum theory (81-XX) 18 Functions of a complex variable (30-XX) 16 Geophysics (86-XX) 15 Integral transforms, operational calculus (44-XX) 14 Statistics (62-XX) 14 Operations research, mathematical programming (90-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Information and communication theory, circuits (94-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Differential geometry (53-XX) 9 Real functions (26-XX) 9 Functional analysis (46-XX) 7 Computer science (68-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 4 Approximations and expansions (41-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX)

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