An inverse problem for Maxwell's equations in anisotropic media

Impact Factor:0.5

DOI number:10.1007/s11401-005-0572-3

Journal:Chinese Annals of Mathematics Series B

Key Words:anisotropic media; inverse problem; Maxwell's equations; Carleman estimate; Lipschitz stability

Abstract:The authors consider Maxwell's equations for an isomagnetic anisotropic and inhomogeneous medium in two dimensions, and discuss an inverse problem of determining the permittivity tensor (epsilon 1(epsilon 2) epsilon 2 (epsilon 3) and the permeability mu in the constitutive relations from a finite number of lateral boundary measurements. Applying a Carleman estimate, the authors prove an estimate of the Lipschitz type for stability, provided that epsilon(1), epsilon(2), epsilon(3) mu satisfy some a priori conditions.

Co-author:Shumin Li,Masahiro Yamamoto

Indexed by:Journal paper

Document Code:000244009900002

Discipline:Natural Science

Document Type:J

Volume:28

Issue:1

Page Number:35-54

ISSN No.:0252-9599

Translation or Not:no

Date of Publication:2007-01-01

Included Journals:SCI

Links to published journals:https://link.springer.com/article/10.1007/s11401-005-0572-3