Unique continuation for solutions to Maxwell's system with non-analytic anisotropic coefficients

被引：7

作者：

Eller, MM ^{[1
]}

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 284卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0022-247X(03)00391-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Maxwell's system with anisotropic coefficients, i.e., the electric permittivity and the magnetic permeability are assumed to be matrices with non-analytic entries. Under the additional assumption that one matrix is a scalar multiple of the other we prove unique continuation of the system across non-characteristic surfaces. The proof relies on differential geometry as well as on Carleman estimates. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：698 / 710

页数：13