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

被引：9

作者：

Li, Shumin ^{[1
]}

Yamamoto, Masahiro ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 153, Japan

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 11期

关键词：

inverse problem; Maxwell's equations; non-stationary media; Carleman estimate; stability; 35R30; 35Q61; 35R25; UNIQUENESS; STABILITY;

D O I：

10.1080/00036811.2012.738359

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 E, 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.

引用

页码：2335 / 2356

页数：22

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