An inverse problem for Maxwell’s equations in isotropic and non-stationary media

Impact Factor:1.107

DOI number:10.1080/00036811.2012.738359

Journal:Applicable Analysis

Key Words:inverse problem; Maxwell’s equations; non-stationary media; Carleman estimate; stability

Abstract:In this article, we consider Maxwell's equations in an isotropic, inhomogeneous and non-stationary medium. We discuss an inverse problem of determining the t-independent components of the coefficients ε, μ, in the constitutive relations from a finite number of interior measurements. We prove a Lipschitz stability estimate for the inverse problem by applying the argument on the basis of Carleman estimate.

Co-author:Shumin Li,Masahiro Yamamoto

Indexed by:Journal paper

Document Code:000327723000008

Discipline:Natural Science

Document Type:J

Volume:92

Issue:11

Page Number:2335-2356

ISSN No.:0003-6811

Translation or Not:no

Date of Publication:2013-11-01

Included Journals:SCI

Links to published journals:https://www.tandfonline.com/doi/abs/10.1080/00036811.2012.738359