Stability of the Calderon problem for less regular conductivities

被引：19

作者：

Caro, Pedro ^{[1
]}

Garcia, Andoni ^{[1
]}

Reyes, Juan Manuel ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 02期

基金：

芬兰科学院; 欧洲研究理事会;

关键词：

Inverse problems; Calderon problem; Stability; GLOBAL UNIQUENESS; INVERSE; BOUNDARY; PLANE;

D O I：

10.1016/j.jde.2012.08.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In these notes we prove log-type stability for the Calderon problem with conductivities in C-1,C-epsilon((Omega) over bar). We follow the lines of a recent work by Fisherman and Tataru in which they prove uniqueness for C-1((Omega) over bar). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：469 / 492

页数：24

共 22 条

[1] SINGULAR SOLUTIONS OF ELLIPTIC-EQUATIONS AND THE DETERMINATION OF CONDUCTIVITY BY BOUNDARY MEASUREMENTS [J].

ALESSANDRINI, G .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 84 (02) :252-272

[2]

Alessandrini G., 1988, Appl. Anal., V27, P153, DOI [10.1080/00036818808839730, DOI 10.1080/00036818808839730]

[3] Calderon's inverse conductivity problem in the plane [J].

Astala, Kari ;

Paivarinta, Lassi .

ANNALS OF MATHEMATICS, 2006, 163 (01) :265-299

[4] Stability of the inverse conductivity problem in the plane for less regular conductivities [J].

Barceló, JA ;

Barceló, T ;

Ruiz, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 173 (02) :231-270

[5] Stability of Calderon inverse conductivity problem in the plane [J].

Barcelo, Tomeu ;

Faraco, Daniel ;

Ruiz, Alberto .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 88 (06) :522-556

[6]

Brown R. M., 2001, Journal of Inverse and ILL-Posed Problems, V9, P567

[7] Uniqueness in the inverse conductivity problem for conductivities with 3/2 derivatives in Lp, p>2n [J].

Brown, RM ;

Torres, RH .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2003, 9 (06) :563-574

[8] Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions [J].

Brown, RM ;

Uhlmann, GA .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (5-6) :1009-1027

[9] Global uniqueness in the impedance-imaging problem for less regular conductivities [J].

Brown, RM .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (04) :1049-1056

[10]

Calderon A., 1980, SEM NUM AN ITS APPL, P65, DOI DOI 10.1590/S0101-82052006000200002

← 1 2 3 →