THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT - UNIQUENESS FOR CONVEX POLYHEDRA

被引：56

作者：

BARCELO, B

FABES, E

SEO, JK

机构：

[1] UNIV AUTONOMA MADRID,DEPT MATEMAT,E-28049 MADRID,SPAIN

[2] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

[3] SEOUL NATL UNIV,GARC,SEOUL 151,SOUTH KOREA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 01期

关键词：

D O I：

10.2307/2160858

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let OMEGA denote a smooth domain in R(n) containing the closure of a convex polyhedron D. Set chi(D) equal to the characteristic function of D. We find a flux g so that if u is the nonconstant solution of div ((1 + chi(D))delu) = 0 in OMEGA with partial derivative u/partial derivative n = g on partial derivative OMEGA, then D is uniquely determined by the Cauchy data g and f = u/partial derivative OMEGA.

引用

页码：183 / 189

页数：7