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Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary

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Ukrainian Mathematical Journal Aims and scope

We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for a two-dimensional diffusion equation with unknown time-dependent leading coefficient in a domain with free-boundary. The equation of unknown boundary is given in the form of the product of a known function of space variables and an unknown time-dependent function.

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Authors and Affiliations

  1. Franko Lviv National University, Lviv, Ukraine

    M. I. Ivanchov

  2. “Lvivs’ka Politekhnika” National University, Lviv, Ukraine

    N. V. Pabyrivs’ka

Authors
  1. M. I. Ivanchov
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  2. N. V. Pabyrivs’ka
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 7, pp. 917–927, July, 2013.

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Ivanchov, M.I., Pabyrivs’ka, N.V. Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary. Ukr Math J 65, 1019–1031 (2013). https://doi.org/10.1007/s11253-013-0838-y

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  • DOI: https://doi.org/10.1007/s11253-013-0838-y

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