Existence and uniqueness of the solution of Maxwell's system in heterogeneous and non-smooth media

Authors
Poupaud, F Remaki, M
Citation
F. Poupaud et M. Remaki, Existence and uniqueness of the solution of Maxwell's system in heterogeneous and non-smooth media, CR AC S I, 330(2), 2000, pp. 99-103
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
330
Issue
2
Year of publication
2000
Pages
99 - 103
Database
ISI
SICI code
0764-4442(20000115)330:2<99:EAUOTS>2.0.ZU;2-S
Abstract
This Note is devoted to the derivation of the existence and uniqueness of t he solution of Maxwell's system when the permeability and the permittivity matrix belong only to L-infinity. We consider two types of boundary conditi ons: a perfect conductor condition and a Silver-Muller condition. The proof is based on the use of a convenient regularization of the electromagnetic field (C) 2000 Academie des sciences/Editions scientifiques et medicales El sevier SAS.