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On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions

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Abstract

We establish conditions for the existence and nonexistence of global solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions. We show that these conditions are determined by the behavior of the problem coefficients as t→∞.

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Authors and Affiliations

  1. Belarusian State University, Minsk, 220030, Belarus

    A. L. Gladkov

  2. Masherov Vitebsk State University, Vitebsk, 210038, Belarus

    A. I. Nikitin

Authors
  1. A. L. Gladkov
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  2. A. I. Nikitin
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Correspondence to A. L. Gladkov.

Additional information

Original Russian Text © A.L. Gladkov, A.I. Nikitin, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 1, pp. 88–107.

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Gladkov, A.L., Nikitin, A.I. On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions. Diff Equat 54, 86–105 (2018). https://doi.org/10.1134/S0012266118010081

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  • DOI: https://doi.org/10.1134/S0012266118010081

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