STABILITY OF CALDERON'S INVERSE CONDUCTIVITY PROBLEM IN THE PLANE FOR DISCONTINUOUS CONDUCTIVITIES

被引：40

作者：

Clop, Albert ^{[1
,2
]}

Faraco, Daniel ^{[3
,4
]}

Ruiz, Alberto ^{[4
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

[2] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

[3] CSIC UAM UCM UC3M, Inst Ciencias Matemat, Madrid 28049, Spain

[4] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

INVERSE PROBLEMS AND IMAGING | 2010年 / 4卷 / 01期

关键词：

Calderon's problem; stability; Inverse problem; GLOBAL UNIQUENESS; THEOREM; EQUATIONS;

D O I：

10.3934/ipi.2010.4.49

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that, in two dimensions, the Calderon inverse conductivity problem in Lipschitz domains is stable in the L-p sense when the conductivities are uniformly bounded in any fractional Sobolev space W-alpha,W-p alpha > 0, 1 < p < infinity.

引用

页码：49 / 91

页数：43

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