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On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions

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Abstract

We establish conditions for the existence and nonexistence of global solutions of an initial–boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions. The results depend on the behavior of variable coefficients as t→∞.

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Authors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    A. L. Gladkov & A. I. Nikitin

  2. Vitebsk State University, Vitebsk, Belarus

    A. L. Gladkov & 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.

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Original Russian Text © A.L. Gladkov, A.I. Nikitin, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 4, pp. 490–505.

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Gladkov, A.L., Nikitin, A.I. On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions. Diff Equat 52, 467–482 (2016). https://doi.org/10.1134/S0012266116040078

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  • DOI: https://doi.org/10.1134/S0012266116040078

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