Continuous observability for the anisotropic Maxwell system

被引：13

作者：

Eller, Matthias M. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2007年 / 55卷 / 02期

关键词：

Maxwell's system; anisotropic media; boundary control;

D O I：

10.1007/s00245-006-0886-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A boundary observability inequality for the homogeneous Maxwell system with variable, anisotropic coefficients is proved. The result implies uniqueness for an ill-posed Cauchy problem for Maxwell's system. Both results are so far known only in the special case of isotropic coefficients, i.e., when Maxwell's system reduces to a vector wave equation. Here the analysis has been carried out for the first-order system directly without references to the wave equation.

引用

页码：185 / 201

页数：17

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