Calderon's inverse problem for anisotropic conductivity in the plane

被引：114

作者：

Astala, K

Päivärinta, L

Lassas, M

机构：

[1] Helsinki Univ Technol, Inst Math, FIN-02015 Helsinki, Finland

[2] Univ Helsinki, Dept Math, SF-00100 Helsinki, Finland

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 30卷 / 1-3期

基金：

芬兰科学院;

关键词：

inverse conductivity problem; anisotropic conductivity; non-smooth conductivity;

D O I：

10.1081/PDE-200044485

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inverse conductivity problem for an anisotropic conductivity sigma is an element of L-infinity in bounded and unbounded domains. Also, we give applications of the results in the case when two sets of local boundary data are given.

引用

页码：207 / 224

页数：18

共 39 条

[1]

AHLFORS LV, 1987, WADSWORTH BROOKS COL

[2] STABILITY FOR A MULTIDIMENSIONAL INVERSE SPECTRAL THEOREM [J].

ALESSANDRINI, G ;

SYLVESTER, J .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (05) :711-736

[3]

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

[4] AREA DISTORTION OF QUASI-CONFORMAL MAPPINGS [J].

ASTALA, K .

ACTA MATHEMATICA, 1994, 173 (01) :37-60

[5]

ASTALA K, 2003, IN PRESS ANN MATH

[6] 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

[7] 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

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

Brown, RM .

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

[9]

Calderon A.P., 1980, Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, P65, DOI DOI 10.1590/S0101-82052006000200002

[10] Electrical impedance tomography [J].

Cheney, M ;

Isaacson, D ;

Newell, JC .

SIAM REVIEW, 1999, 41 (01) :85-101

← 1 2 3 4 →