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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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