# 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

## Access Full Article

top## Abstract

top## How to cite

topV. 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.