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1. Inverse Problems for Parabolic Equation with Discontinuous Coefficients

Author

Dinakar V., Balan N. Barani, and Balachandran K.

Subjects
Stability, Inverse problems, Reaction-Diffusion model, Carleman estimate, Mathematics, QA1-939
Abstract

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.

Published
2017
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