Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

被引：69

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

共 18 条

[1]

[Anonymous], 1964, PUBL MATH I, DOI 10.1007/BF02684796

[2]

Bonito A., 2013, APPL MATH SCI

[3] APPROXIMATION OF THE EIGENVALUE PROBLEM FOR THE TIME HARMONIC MAXWELL SYSTEM BY CONTINUOUS LAGRANGE FINITE ELEMENTS [J].

Bonito, Andrea ;

Guermond, Jean-Luc .

MATHEMATICS OF COMPUTATION, 2011, 80 (276) :1887-1910

[4] A REMARK ON THE REGULARITY OF SOLUTIONS OF MAXWELL EQUATIONS ON LIPSCHITZ-DOMAINS [J].

COSTABEL, M .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1990, 12 (04) :365-368

[5]

Costabel M, 1999, RAIRO-MATH MODEL NUM, V33, P627

[6] On Bogovskii and regularized Poincare integral operators for de Rham complexes on Lipschitz domains [J].

Costabel, Martin ;

McIntosh, Alan .

MATHEMATISCHE ZEITSCHRIFT, 2010, 265 (02) :297-320

[7]

Ern A., 2004, APPL MATH SCI, V159

[8]

Girault V., 1986, MONOGRAPHS STUDIES M

[9]

Grisvard P., 1985, PROGRAM, V24

[10] THE INHOMOGENEOUS DIRICHLET PROBLEM IN LIPSCHITZ-DOMAINS [J].

JERISON, D ;

KENIG, CE .

JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 130 (01) :161-219

← 1 2 →