Reconstruction of two time independent coefficients in an inverse problem for a phase field system

N. Baranibalan, K. Sakthivel, K. Balachandran, J. H. Kim

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Abstract

In this paper we present stability results concerning the inverse problem of determining two time independent coefficients for a phase field system in a bounded domain Ω ⊂ Rn for the dimension n ≤ 3 with a single observation on a subdomain ω {double subset} Ω and the Sobolev norm of certain partial derivatives of the solutions at a fixed positive time θ ∈ (0, T) over the whole spatial domain. The proof of these results relies on an appropriate Carleman estimate for the phase field system.

Original languageEnglish
Pages (from-to)2841-2851
Number of pages11
JournalNonlinear Analysis, Theory, Methods and Applications
Volume72
Issue number6
DOIs
Publication statusPublished - 2009 May 15

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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