ON AN INVERSE PROBLEM IN ELECTROMAGNETISM WITH LOCAL DATA: STABILITY AND UNIQUENESS

被引：19
作者：
Caro, Pedro [1 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
来源：
INVERSE PROBLEMS AND IMAGING | 2011年 / 5卷 / 02期
关键词：
Inverse boundary value problem; electromagnetism; BOUNDARY-VALUE PROBLEM; PARTIAL CAUCHY DATA; MAXWELL EQUATIONS; CONDUCTIVITY PROBLEM; GLOBAL UNIQUENESS; ELECTRODYNAMICS; SCATTERING;
D O I：
10.3934/ipi.2011.5.297
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove a stable determination of the coefficients of the time-harmonic Maxwell equations from local boundary data. The argument -due to Isakov- requires some restrictions on the domain.
引用
收藏
页码：297 / 322
页数：26
相关论文
共 30 条
[1]   Lipschitz stability for the inverse conductivity problem [J].
Alessandrini, G ;
Vessella, S .
ADVANCES IN APPLIED MATHEMATICS, 2005, 35 (02) :207-241
[2]  
Alessandrini G., 1988, Appl. Anal., V27, P153, DOI [10.1080/00036818808839730, DOI 10.1080/00036818808839730]
[3]   Calderon's inverse problem for anisotropic conductivity in the plane [J].
Astala, K ;
Päivärinta, L ;
Lassas, M .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (1-3) :207-224
[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]   Stable determination of the electromagnetic coefficients by boundary measurements [J].
Caro, Pedro .
INVERSE PROBLEMS, 2010, 26 (10)
[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]   THE UNIQUENESS OF A SOLUTION TO AN INVERSE SCATTERING PROBLEM FOR ELECTROMAGNETIC-WAVES [J].
COLTON, D ;
PAIVARINTA, L .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 119 (01) :59-70
[9]  
Heck H., 2007, ARXIV07083289V1
[10]   Stability estimates for the inverse boundary value problem by partial Cauchy data [J].
Heck, Horst ;
Wang, Jenn-Nan .
INVERSE PROBLEMS, 2006, 22 (05) :1787-1796
123