A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms
Year: 2019
Author: Xiao Su, Shubin Wang
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 2 : pp. 181–190
Abstract
This article is concerned with the finite time blow-up of weak solutions to the wave equations with nonlinear damping and source terms. We provide the sufficient conditions of finite time blow-up of weak solutions with arbitrary positive initial energy by constructing a energy perturbation function.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v32.n2.7
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 2 : pp. 181–190
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Wave equations