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.
@article{bwmeta1.element.doi-10_1515_msds-2017-0005,
author = {V. Dinakar and N. Barani Balan and K. Balachandran},
title = {Inverse Problems for Parabolic Equation with Discontinuous Coefficients},
journal = {Nonautonomous Dynamical Systems},
volume = {4},
year = {2017},
pages = {40-51},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_msds-2017-0005}
}
V. Dinakar; N. Barani Balan; K. Balachandran. Inverse Problems for Parabolic Equation with Discontinuous Coefficients. Nonautonomous Dynamical Systems, Tome 4 (2017) pp. 40-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_msds-2017-0005/