Abstract
The problem of the blow-up of solutions of coupled systems of nonlinear parabolic and hyperbolic equations of second order is studied. The concavity method and its modifications are used to find sufficient conditions for the blow-up of solutions for an arbitrary positive initial energy of the problem.
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Translated from Matematicheskie Zametki, 2022, Vol. 112, pp. 391–397 https://doi.org/10.4213/mzm13658.
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Kalantarova, J.V., Kalantarov, V.K. Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations. Math Notes 112, 406–411 (2022). https://doi.org/10.1134/S0001434622090097
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DOI: https://doi.org/10.1134/S0001434622090097