A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations

被引:2
作者
Romanov, VG
机构
[1] Sobolev Institute of Mathematics, Novosibirsk
基金
俄罗斯基础研究基金会;
关键词
inverse problem; equations of electrodynamics; stability; uniqueness;
D O I
10.1023/B:SIMJ.0000048926.66814.81
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the problem of determining dielectric permittivity and conductivity in the Maxwell equations. As additional information we prescribe the traces of the tangential components of the electromagnetic field on the lateral surface of a cylindric domain. We establish a stability estimate for a solution to the inverse problem and a uniqueness theorem.
引用
收藏
页码:1098 / 1112
页数:15
相关论文
共 14 条
[1]  
BELISHEV MI, 2000, ALGEBR ANAL, V12, P131
[2]  
BELISHEV MI, 2000, DOKL ROSS AKAD NAUK, V372, P298
[3]  
Ladyzhenskaya O. A., 1973, Boundary-Value Problems of Mathematical Physics
[4]   AN INVERSE BOUNDARY-VALUE PROBLEM IN ELECTRODYNAMICS [J].
OLA, P ;
PAIVARINTA, L ;
SOMERSALO, E .
DUKE MATHEMATICAL JOURNAL, 1993, 70 (03) :617-653
[5]  
RAMM AG, 1994, MULTIDIMENSIONAL SCA
[6]  
Romanov V. G., 1984, Inverse Problems of Mathematical Physics Equations
[7]  
Romanov V.G., 1991, Inverse Problems of Geoelectrics
[8]  
Romanov V. G., 1999, SIB MAT ZH, V40, P1323
[9]  
ROMANOV VG, 2003, SIB MAT ZH, V44, P837
[10]  
ROMANOV VG, 2002, NONCLASSICAL EQUATIO, P196