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

被引：54
|
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.
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页码：183 / 189
页数：7
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