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

Translated title of the contribution: Regularity in time of the time-dependent Maxwell equations

Franck Assous, Patrick Ciarlet

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Translated title of the contribution	Regularity in time of the time-dependent Maxwell equations
Original language	English
Pages (from-to)	719-724
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Issue number	8
DOIs	https://doi.org/10.1016/s0764-4442(98)80158-4
State	Published - Oct 1998
Externally published	Yes

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10.1016/s0764-4442(98)80158-4

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Regularity in time of the time-dependent Maxwell equations

Abstract

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