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Carleman estimates for the heat equation with discontinuous diffusion coefficients

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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.

Keywords: Carleman estimates; discontinuous coefficients; heat equation

Document Type: Research Article

DOI: https://doi.org/10.1080/00036810802140665

Affiliations: Laboratoire d'analyse, topologie, probabilites, CNRS UMR 6632 Universite de Provence, Marseille, France

Publication date: 2008-10-01

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