Nonautonomous Dynamical Systems, Vol 4, Iss 1, Pp 40-51 (2017)
ISSN:
2353-0626
Popis:
We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems of finding the stability result of the two discontinuous coefficients from the internal observations of the given parabolic equation.
