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Inverse Problem with Free Boundary for Heat Equation

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Abstract

We establish conditions for the existence and uniqueness of a solution of the inverse problem for a one-dimensional heat equation with unknown time-dependent leading coefficient in the case where a part of the boundary of the domain is unknown.

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Authors and Affiliations

  1. Lviv National University, Lviv

    M. I. Ivanchov

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  1. M. I. Ivanchov
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Ivanchov, M.I. Inverse Problem with Free Boundary for Heat Equation. Ukrainian Mathematical Journal 55, 1086–1098 (2003). https://doi.org/10.1023/B:UKMA.0000010607.28568.a7

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010607.28568.a7

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