Inverse Problems for Parabolic Equation with Discontinuous Coefficients
V. Dinakar, N. Barani Balan, K. Balachandran (2017)
Nonautonomous Dynamical Systems
Similarity:
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.