REGULARITY IN TIME OF THE TIME-DEPENDENT MAXWELL EQUATIONS

Authors
ASSOUS F CIARLET P
Citation
F. Assous et P. Ciarlet, REGULARITY IN TIME OF THE TIME-DEPENDENT MAXWELL EQUATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(8), 1998, pp. 719-724
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
8
Year of publication
1998
Pages
719 - 724
Database
ISI
SICI code
0764-4442(1998)327:8<719:RITOTT>2.0.ZU;2-V
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 wi thout charges. First. we recall the results derived from the classical theory when the clo,nain has a Lipschitz boundary. Then, when it is a polyhedron, Lye extend the results to both the regular and singular p arts of the electromagnetic field. Last, when it is a polygon, we impr ove those results concerning the singular part of the field. (C) Acade mie des Sciences/Elsevier, Paris.