LOCAL UNIQUENESS IN THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT

被引：47

作者：

ALESSANDRINI, G

ISAKOV, V

POWELL, J

机构：

[1] WICHITA STATE UNIV,DEPT MATH & STAT,WICHITA,KS 67260

[2] IOWA STATE UNIV SCI & TECHNOL,AMES LAB,AMES,IA 50011

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 08期

关键词：

D O I：

10.2307/2154768

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local uniqueness of a domain D entering the conductivity equation div((1 + chi(D))del u) = 0 in a bounded planar domain Omega given the Cauchy data for u on a part of partial derivative Omega. The main assumption is that del u has zero index on partial derivative Omega which is easy to guarantee by choosing special boundary data for u. To achieve our goals we study index of critical points of u on partial derivative Omega.

引用

页码：3031 / 3041

页数：11

共 13 条

[1] STABILITY FOR AN INVERSE PROBLEM IN POTENTIAL-THEORY [J].