Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Bonito, Andrea¹  Guermond, Jean-Luc¹  Luddens, Francky² 

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

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

关键词: Maxwell equations;    Elliptic regularity;    Discontinuous coefficients;    Lipschitz domains;   

DOI  :  10.1016/j.jmaa.2013.06.018

来源: Elsevier

【 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.

【 授权许可】

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