Carleman estimates for the heat equation with discontinuous diffusion coefficients

نویسنده

  • Olivier Poisson
چکیده

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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تاریخ انتشار 2016