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Matematicheskie Zametki, 2019, Volume 106, Issue 3, Pages 377–386
DOI: https://doi.org/10.4213/mzm12326 (Mi mzm12326) 		 
Blow-Up of Solutions to Semilinear Nonautonomous Wave Equations with Robin Boundary Conditions

J. Kalantarova

Izmir University of Economics
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DOI: https://doi.org/10.4213/mzm12326
Abstract: The problem of the blow-up of solutions to the initial boundary value problem for a nonautonomous semilinear wave equation with damping and accelerating terms under the Robin boundary condition is studied. Sufficient conditions for the blow up in finite time of solutions to semilinear damped wave equations with arbitrary large initial energy are obtained. A result on the blow-up of solutions with negative initial energy to a semilinear second-order wave equation with an accelerating term is also obtained.
Keywords: Robin boundary condition, blow-up of solutions, concavity method.
Received: 23.01.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 3, Pages 364–371
DOI: https://doi.org/10.1134/S0001434619090050
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: J. Kalantarova, “Blow-Up of Solutions to Semilinear Nonautonomous Wave Equations with Robin Boundary Conditions”, Mat. Zametki, 106:3 (2019), 377–386; Math. Notes, 106:3 (2019), 364–371
Citation in format AMSBIB
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