Regularity in time of the time-dependent Maxwell equations

Franck Assous; Patrick Ciarlet

doi:10.1016/s0764-4442(98)80158-4

Regularity in time of the time-dependent Maxwell equations

Titre traduit de la contribution: Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires

Franck Assous
, Patrick Ciarlet

Centre d'Etudes de Limeil-Valenton

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the regularity in time of the solution to the time-dependent Maxwell equations, in the vacuum bounded by a perfect conductor and without charges. First, we recall the results derived from the classical theory when the domain has a Lipschitz boundary. Then, when it is a polyhedron, we extend the results to both the regular and singular parts of the electromagnetic field. Last, when it is a polygon, we improve those results concerning the singular part of the field.

Titre traduit de la contribution	Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires
langue originale	Anglais
Pages (de - à)	719-724
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Numéro de publication	8
Les DOIs	https://doi.org/10.1016/s0764-4442(98)80158-4
état	Publié - 1 janv. 1998

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10.1016/s0764-4442(98)80158-4

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Regularity in time of the time-dependent Maxwell equations

Résumé

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