Carleman estimates for the heat equation with discontinuous diffusion coefficients
Abstract:We consider the heat equation with a diffusion coefficient that is discontinuous at an interface. We give global Carleman estimates for solutions of this equation, even if the jump of the coefficient across the interface has not a constant sign.
Document Type: Research Article
Affiliations: Laboratoire d'analyse, topologie, probabilites, CNRS UMR 6632 Universite de Provence, Marseille, France
Publication date: 2008-10-01