A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions

被引：26
|
作者：
Novikov, Roman [1 ]
Santacesaria, Matteo [1 ]
机构：
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
来源：
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2010年 / 18卷 / 07期
关键词：
Gel'fand-Calderon inverse problem; global stability in 2D; BOUNDARY-VALUE PROBLEM; UNIQUENESS; EQUATION;
D O I：
10.1515/JIIP.2011.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a global logarithmic stability estimate for the Gel'fand-Calderon inverse problem on a two-dimensional domain.
引用
收藏
页码：765 / 785
页数：21
相关论文
共 50 条
  • [21] A Stability Estimate for a Solution to a Two-Dimensional Inverse Problem of Electrodynamics
    V. G. Romanov
    [J]. Siberian Mathematical Journal, 2003, 44 : 659 - 670
  • [22] Calderon problem for Maxwell's equations in two dimensions
    Imanuvilov, Oleg Y.
    Yamamoto, Masahiro
    [J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2016, 24 (03): : 351 - 355
  • [23] A global stability estimate for the photo-acoustic inverse problem in layered media
    Ren, Kui
    Triki, Faouzi
    [J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2019, 30 (03) : 505 - 528
  • [24] On a global estimate in a linear inverse hyperbolic problem
    Puel, JP
    Yamamoto, M
    [J]. INVERSE PROBLEMS, 1996, 12 (06) : 995 - 1002
  • [25] ASYMPTOTIC NON-DEGENERACY OF THE MULTIPLE BLOW-UP SOLUTIONS TO THE GEL'FAND PROBLEM IN TWO SPACE DIMENSIONS
    Grossi, Massimo
    Ohtsuka, Hiroshi
    Suzuki, Takashi
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2011, 16 (1-2) : 145 - 164
  • [26] Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand-Levitan-Krein equation
    Kabanikhin, Sergey I.
    Shishlenin, Maxim A.
    [J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2011, 18 (09): : 979 - 995
  • [27] Stability estimate for a semilinear elliptic inverse problem
    Mourad Choulli
    Guanghui Hu
    Masahiro Yamamoto
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2021, 28
  • [28] Stability estimate for a semilinear elliptic inverse problem
    Choulli, Mourad
    Hu, Guanghui
    Yamamoto, Masahiro
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 28 (04):
  • [29] Stability estimate for an inverse acoustic backscattering problem
    Wang, JN
    [J]. INVERSE PROBLEMS, 1998, 14 (01) : 197 - 207
  • [30] A STABILITY ESTIMATE FOR A SOLUTION TO AN INVERSE PROBLEM OF ELECTRODYNAMICS
    Romanov, V. G.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (04) : 682 - 695
12345