Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient, and applications
نویسندگان
چکیده
منابع مشابه
Carleman estimates for the heat equation with discontinuous diffusion coefficients
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. AMS classification scheme numbers: 35K05, 35K55, 35R05, 35R30
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ژورنال
عنوان ژورنال: Comptes Rendus Mécanique
سال: 2006
ISSN: 1631-0721
DOI: 10.1016/j.crme.2006.07.001