Non-coercive transmission problems in polygonal domains. -- Problèmes de transmission non coercifs dans des polygones

Abstract

We show that Kondratev's theory for corner domains can be extended to scalar transmission problems between two polygonal materials if the contrast ratio between the two materials is different from -1.

This paper was written in 1997 and published as IRMAR report number 97-27. This work is put on open archive in 2011 in view of recent applications to meta-materials