Inverse Problems for Parabolic Equation with Discontinuous Coefficients

V. Dinakar; N. Barani Balan; K. Balachandran

Nonautonomous Dynamical Systems (2017)

  • Volume: 4, Issue: 1, page 40-51
  • ISSN: 2353-0626

Abstract

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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.

How to cite

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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 -

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