Inverse Problems for Parabolic Equation with Discontinuous Coefficients

V. Dinakar, N. Barani Balan, and K. Balachandran. "Inverse Problems for Parabolic Equation with Discontinuous Coefficients." Nonautonomous Dynamical Systems 4.1 (2017): 40-51. <http://eudml.org/doc/288566>.

@article{V2017,
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.},
author = {V. Dinakar, N. Barani Balan, K. Balachandran},
journal = {Nonautonomous Dynamical Systems},
keywords = {Stability; Inverse problems; Reaction-Diffusion model; Carleman estimate},
language = {eng},
number = {1},
pages = {40-51},
title = {Inverse Problems for Parabolic Equation with Discontinuous Coefficients},
url = {http://eudml.org/doc/288566},
volume = {4},
year = {2017},
}

TY - JOUR
AU - V. Dinakar
AU - N. Barani Balan
AU - K. Balachandran
TI - Inverse Problems for Parabolic Equation with Discontinuous Coefficients
JO - Nonautonomous Dynamical Systems
PY - 2017
VL - 4
IS - 1
SP - 40
EP - 51
AB - 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.
LA - eng
KW - Stability; Inverse problems; Reaction-Diffusion model; Carleman estimate
UR - http://eudml.org/doc/288566
ER -