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July 2021 Finite time blow-up for a viscoelastic wave equation with weak-strong damping and power nonlinearity
Tosiya Miyasita, Khaled Zennir
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Osaka J. Math. 58(3): 661-669 (July 2021).

Abstract

We consider a viscoelastic wave equation with weak, strong damping and power nonlinearity. We have already obtained a global solution and its decay rate in [8]. In this paper, we apply the concavity method in order to show that the solution blows up in finite time under non-classic constraint on $\mu$.

Citation

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Tosiya Miyasita. Khaled Zennir. "Finite time blow-up for a viscoelastic wave equation with weak-strong damping and power nonlinearity." Osaka J. Math. 58 (3) 661 - 669, July 2021.

Information

Received: 24 December 2019; Revised: 21 April 2020; Published: July 2021
First available in Project Euclid: 20 July 2021

Subjects:
Primary: 35B44, 35L05, 35L70

Rights: Copyright © 2021 Osaka University and Osaka City University, Departments of Mathematics

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Vol.58 • No. 3 • July 2021
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