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Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains |
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| Authors: | Andrea Bonito Jean-Luc Guermond Francky Luddens |
| Institution: | 1. Department of Mathematics, Texas A&M University 3368 TAMU, College Station, TX 77843, USA;2. LIMSI, UPR 3251 CNRS, BP 133, 91403 Orsay cedex, France |
| Abstract: | 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. |
| Keywords: | Maxwell equations Elliptic regularity Discontinuous coefficients Lipschitz domains |
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