Stable determination of the electromagnetic coefficients by boundary measurements

被引:18
作者
Caro, Pedro [1 ]
机构
[1] Univ Autonoma Madrid, Dept Math, E-28049 Madrid, Spain
关键词
INVERSE PROBLEMS; MATERIAL PARAMETERS; GLOBAL UNIQUENESS; MAXWELL EQUATIONS; DOMAINS; ELECTRODYNAMICS; INFORMATION;
D O I
10.1088/0266-5611/26/10/105014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The goal of this paper is to prove a stable determination of the coefficients for the time-harmonic Maxwell equations, in a Lipschitz domain, by boundary measurements.
引用
收藏
页数:25
相关论文
共 33 条
[1]  
Alessandrini G., 1988, Appl. Anal., V27, P153, DOI [10.1080/00036818808839730, DOI 10.1080/00036818808839730]
[2]  
Birman M., 1993, ST PETERSB MATH J, V5, P125
[3]   L2-THEORY OF THE MAXWELL OPERATOR IN ARBITRARY DOMAINS [J].
BIRMAN, MS ;
SOLOMYAK, MZ .
RUSSIAN MATHEMATICAL SURVEYS, 1987, 42 (06) :75-96
[4]   Global uniqueness in the impedance-imaging problem for less regular conductivities [J].
Brown, RM .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (04) :1049-1056
[5]   Recovering a potential from partial Cauchy data [J].
Bukhgeim, AL ;
Uhlmann, G .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (3-4) :653-668
[6]  
CARO P, 2010, ARXIV10054822
[7]   Inverse Boundary Value Problem for Maxwell Equations with Local Data [J].
Caro, Pedro ;
Ola, Petri ;
Salo, Mikko .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (11) :1425-1464
[8]   Singularities of electromagnetic fields in polyhedral domains [J].
Costabel, M ;
Dauge, M .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, 151 (03) :221-276
[9]  
Hähner P, 2000, INVERSE PROBL, V16, P155, DOI 10.1088/0266-5611/16/1/313
[10]  
Isakov V., 2004, MILAN J MATH, V72, P249