Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients

This article concerns the inverse problem of the coupled age-structured population dynamics system with discontinuous diffusion coefficients. The internal observations with two measurements are allowed to obtain the stability result for the inverse problem consisting of simultaneously retrieving two...

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Main Authors:	Varadharaj Dinakar, Natesan Barani Balan, Krishnan Balachandran
Format:	Article
Language:	English
Published:	AIMS Press 2017-01-01
Series:	AIMS Mathematics
Subjects:	Stability Source term\| Age-structured population model\| Carleman estimate
Online Access:	http://www.aimspress.com/article/10.3934/Math.2017.1.81/fulltext.html

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spelling	doaj-aca5dc28a02f40968df7fcff0df0f3512020-11-24T22:40:02ZengAIMS PressAIMS Mathematics2473-69882017-01-0121819510.3934/Math.2017.1.81Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion CoefficientsVaradharaj Dinakar0Natesan Barani Balan1Krishnan Balachandran21 Department of Mathematics, Bharathiar University, Coimbatore - 641046, India2 Department of Mathematics, Central University of Tamilnadu, Thiruvarur - 610005, India1 Department of Mathematics, Bharathiar University, Coimbatore - 641046, IndiaThis article concerns the inverse problem of the coupled age-structured population dynamics system with discontinuous diffusion coefficients. The internal observations with two measurements are allowed to obtain the stability result for the inverse problem consisting of simultaneously retrieving two space dependent source terms in the given parabolic system. The proof of the result relies on Carleman estimates and certain energy estimates for parabolic system.http://www.aimspress.com/article/10.3934/Math.2017.1.81/fulltext.htmlStabilitySource term\| Age-structured population model\| Carleman estimate
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Varadharaj Dinakar Natesan Barani Balan Krishnan Balachandran
spellingShingle	Varadharaj Dinakar Natesan Barani Balan Krishnan Balachandran Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients AIMS Mathematics Stability Source term\| Age-structured population model\| Carleman estimate
author_facet	Varadharaj Dinakar Natesan Barani Balan Krishnan Balachandran
author_sort	Varadharaj Dinakar
title	Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients
title_short	Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients
title_full	Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients
title_fullStr	Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients
title_full_unstemmed	Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients
title_sort	identification of source terms in a coupled age-structured population model with discontinuous diffusion coefficients
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2017-01-01
description	This article concerns the inverse problem of the coupled age-structured population dynamics system with discontinuous diffusion coefficients. The internal observations with two measurements are allowed to obtain the stability result for the inverse problem consisting of simultaneously retrieving two space dependent source terms in the given parabolic system. The proof of the result relies on Carleman estimates and certain energy estimates for parabolic system.
topic	Stability Source term\| Age-structured population model\| Carleman estimate
url	http://www.aimspress.com/article/10.3934/Math.2017.1.81/fulltext.html
work_keys_str_mv	AT varadharajdinakar identificationofsourcetermsinacoupledagestructuredpopulationmodelwithdiscontinuousdiffusioncoefficients AT natesanbaranibalan identificationofsourcetermsinacoupledagestructuredpopulationmodelwithdiscontinuousdiffusioncoefficients AT krishnanbalachandran identificationofsourcetermsinacoupledagestructuredpopulationmodelwithdiscontinuousdiffusioncoefficients
_version_	1725706211104391168

Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients

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