Singularities of Maxwell interface problems

Martin Costabel, Monique Dauge, Serge Nicaise

We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability and the permittivity 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.

Preprint IRMAR 98-24 (May 98) and Modél. Math. Anal. Numér. 33, 3, 627-649, 1999.

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