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Singularities of Maxwell interface problems

Published online by Cambridge University Press:  15 August 2002

Martin Costabel
Affiliation:
IRMAR, Université de Rennes I, campus de Beaulieu, 35042 Rennes Cedex, France. dauge@univ-rennes1.fr.
Monique Dauge
Affiliation:
IRMAR, Université de Rennes I, campus de Beaulieu, 35042 Rennes Cedex, France. dauge@univ-rennes1.fr.
Serge Nicaise
Affiliation:
Université de Valenciennes et du Hainaut Cambrésis, LIMAV, B.P. 311, 59304 Valenciennes Cedex, France.
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Abstract

We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1999

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