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Stefan problem for a weakly degenerate parabolic equation

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Ukrainian Mathematical Journal Aims and scope

In a domain with free boundary, we consider the inverse problem of determination of the coefficient of the first derivative of the unknown function in a parabolic equation with weak power degeneration. The Stefan condition and the integral condition are used as overdetermination conditions. The conditions for existence and uniqueness of the classical solution of the posed problem are established.

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Authors and Affiliations

  1. Franko Lviv National University, Lviv, Ukraine

    N. M. Hryntsiv

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  1. N. M. Hryntsiv
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 5, pp. 640–653, May, 2011.

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Hryntsiv, N.M. Stefan problem for a weakly degenerate parabolic equation. Ukr Math J 63, 742–758 (2011). https://doi.org/10.1007/s11253-011-0539-3

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  • DOI: https://doi.org/10.1007/s11253-011-0539-3

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