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Initial-Boundary-Value Problem for a Semilinear Parabolic Equation with Nonlinear Nonlocal Boundary Conditions

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Ukrainian Mathematical Journal Aims and scope

We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove the principle of comparison, establish the existence of local solutions, and study the problem of uniqueness and nonuniqueness.

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Authors and Affiliations

  1. Belorussian State University, Minsk, Belarus

    A. L. Gladkov

  2. Masherov Vitebsk State University, Vitebsk, Belarus

    T. V. Kavitova

Authors
  1. A. L. Gladkov
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  2. T. V. Kavitova
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 2, pp. 162–174, February, 2016.

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Gladkov, A.L., Kavitova, T.V. Initial-Boundary-Value Problem for a Semilinear Parabolic Equation with Nonlinear Nonlocal Boundary Conditions. Ukr Math J 68, 179–192 (2016). https://doi.org/10.1007/s11253-016-1217-2

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  • DOI: https://doi.org/10.1007/s11253-016-1217-2

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