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Determination of the Lower Coefficient in a Parabolic Equation with Strong Power Degeneration

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Ukrainian Mathematical Journal Aims and scope

We establish conditions for the existence and uniqueness of the classical solution to the inverse problem of identification of the time-dependent lowest coefficient of the first derivative in a one-dimensional degenerate parabolic equation. The Dirichlet boundary conditions and the integral condition of overdetermination are imposed. We study the case of strong power degeneration.

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Authors and Affiliations

  1. I. Franko Lviv National University, Lviv, Ukraine

    N. M. Huzyk

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  1. N. M. Huzyk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 7, pp. 922–932, July, 2016.

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Huzyk, N.M. Determination of the Lower Coefficient in a Parabolic Equation with Strong Power Degeneration. Ukr Math J 68, 1049–1061 (2016). https://doi.org/10.1007/s11253-016-1276-4

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  • DOI: https://doi.org/10.1007/s11253-016-1276-4

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