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Nonexistence of Global Positive Solutions of Weakly Coupled Systems of Semilinear Parabolic Equations with Time-Periodic Coefficients

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Abstract

In the Cartesian product \((\mathbb {R}^n\setminus B)\times \mathbb {R} \), where \(B \) is a ball in \(\mathbb {R}^n \), \(n\geq 3\), we consider a system of two semilinear parabolic equations with bounded measurable time-periodic coefficients and with power nonlinearities. Exact conditions on the nonlinearity exponents under which this system does not have global positive time-periodic solutions are derived.

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Authors and Affiliations

  1. Baku State University, Baku, AZ1148, Azerbaijan

    Sh. G. Bagyrov

  2. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, AZ1141, Azerbaijan

    Sh. G. Bagyrov

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  1. Sh. G. Bagyrov
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Correspondence to Sh. G. Bagyrov.

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Translated by V. Potapchouck

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Bagyrov, S.G. Nonexistence of Global Positive Solutions of Weakly Coupled Systems of Semilinear Parabolic Equations with Time-Periodic Coefficients. Diff Equat 56, 721–733 (2020). https://doi.org/10.1134/S0012266120060051

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  • DOI: https://doi.org/10.1134/S0012266120060051

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