Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains
KAUST Grant NumberKUS-C1-016-04
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AbstractThis 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. © 2013 Elsevier Ltd.
CitationBonito A, Guermond J-L, Luddens F (2013) Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Journal of Mathematical Analysis and Applications 408: 498–512. Available: http://dx.doi.org/10.1016/j.jmaa.2013.06.018.
SponsorsThe first author was partially supported by the NSF grant DMS-0914977.The first and second authors were partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The second and third authors were partially supported by the NSF grant DMS-1015984.Part of the third author's work was done during visits of Francky Luddens at Texas A&M and the support of the University Paris-Sud 11 is acknowledged.