Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

被引：67

作者：

Bonito, Andrea ^{[1
]}

Guermond, Jean-Luc ^{[1
]}

Luddens, Francky ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] CNRS, LIMISI, UPR 3251, F-91403 Orsay, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 02期

基金：

美国国家科学基金会;

关键词：

Maxwell equations; Elliptic regularity; Discontinuous coefficients; Lipschitz domains; ELLIPTIC-EQUATIONS;

D O I：

10.1016/j.jmaa.2013.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note establishes regularity estimates for the solution of the Maxwell equations in Lipschitz domains with non-smooth coefficients and minimal regularity assumptions. The argumentation relies On elliptic regularity estimates for the Poisson problem with non-smooth coefficients. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：498 / 512

页数：15

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