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AIMS Mathematics

2017, Volume 2, Issue 1: 81-95. doi: 10.3934/Math.2017.1.81
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Research article

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

  • 1.
    Department of Mathematics, Bharathiar University, Coimbatore-641046, India
  • 2.
    Department of Mathematics, Central University of Tamilnadu, Thiruvarur-610005, India
  • Received: 20 August 2016 Accepted: 17 December 2016 Published: 17 January 2017

  • 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.

    Citation: Varadharaj Dinakar, Natesan Barani Balan, Krishnan Balachandran. Identification of Source Terms in a Coupled Age-structured Population Model with Discontinuous Diffusion Coefficients[J]. AIMS Mathematics, 2017, 2(1): 81-95. doi: 10.3934/Math.2017.1.81

    Related Papers:

  • 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.


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  • © 2017 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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