INVERSE PROBLEMS AND CARLEMAN ESTIMATES

被引：244

作者：

KLIBANOV, MV

机构：

[1] Dept. of Maths., North Carolina Univ., Charlotte, NC

来源：

INVERSE PROBLEMS | 1992年 / 8卷 / 04期

关键词：

D O I：

10.1088/0266-5611/8/4/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a method for proving global uniqueness theorems for one broad class of multidimensional coefficient inverse problems. This method is based on Carleman estimates, and it does not depend essentially on the order or type of differential operator.

引用

页码：575 / 596

页数：22

共 50 条

[31] Carleman estimate for the Schrodinger equation and application to magnetic inverse problems
Huang, Xinchi
Kian, Yavar
Soccorsi, Eric
Yamamoto, Masahiro
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 474 (01) : 116 - 142
[32] GLOBAL CARLEMAN ESTIMATE FOR THE PLATE EQUATION AND APPLICATIONS TO INVERSE PROBLEMS
Gao, Peng
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[33] Inverse coefficient problems for a transport equation by local Carleman estimate
Cannarsa, P.
Floridia, G.
Golgeleyen, F.
Yamamoto, M.
[J]. INVERSE PROBLEMS, 2019, 35 (10)
[34] Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality
Ganghua Yuan
Masahiro Yamamoto
[J]. Chinese Annals of Mathematics, Series B, 2010, 31 : 555 - 578
[35] Carleman estimates for the non-stationary Lame system and the application to an inverse problem
Imanuvilov, OY
Yamamoto, M
[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2005, 11 (01) : 1 - 56
[36] Carleman Estimates for the Schrdinger Equation and Applications to an Inverse Problem and an Observability Inequality
Masahiro YAMAMOTO
[J]. Chinese Annals of Mathematics(Series B), 2010, 31 (04) : 555 - 578
[37] Application of global Carleman estimates with rotated weights to an inverse problem for the wave equation
Doubova, A
Osses, A
[J]. COMPTES RENDUS MATHEMATIQUE, 2005, 341 (09) : 555 - 560
[38] Rotated weights in global Carleman estimates applied to an inverse problem for the wave equation
Doubova, A
Osses, A
[J]. INVERSE PROBLEMS, 2006, 22 (01) : 265 - 296
[39] Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations
Nguyen, Loc H.
Klibanov, Michael, V
[J]. INVERSE PROBLEMS, 2022, 38 (03)
[40] Global Carleman estimates for weak solutions of elliptic nonhomogeneous Dirichlet problems
Imanuvilov, OY
Puel, JP
[J]. COMPTES RENDUS MATHEMATIQUE, 2002, 335 (01) : 33 - 38

← 1 2 3 4 5 →