Inverse Problems for Parabolic Equation with Discontinuous Coefficients
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 disc...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2017-10-01
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Series: | Nonautonomous Dynamical Systems |
Subjects: | |
Online Access: | http://www.degruyter.com/view/j/msds.2017.4.issue-1/msds-2017-0005/msds-2017-0005.xml?format=INT |
Summary: | 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. |
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ISSN: | 2353-0626 |