Reconstruction of two time independent coefficients in an inverse problem for a phase field system |
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Authors: | N. Baranibalan K. Sakthivel J.-H. Kim |
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Affiliation: | a Department of Mathematics, Bharathiar University, Coimbatore-641 046, India b Department of Mathematics, Yonsei University, Seoul-120 749, Republic of Korea |
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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?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. |
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Keywords: | 35K05 35R30 80A22 |
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