A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms

Xiao Su; Shubin Wang

doi:10.4208/jpde.v32.n2.7

A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms

Authors

Xiao Su College of Science, Henan University of Technology, Zhengzhou 450001, China
Shubin Wang School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

DOI:

https://doi.org/10.4208/jpde.v32.n2.7

Keywords:

Wave equations;blow-up;arbitrary positive initial energy.

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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Published

2019-07-15

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Issue

Vol. 32 No. 2 (2019)

Section

Articles

How to Cite

A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms. (2019). Journal of Partial Differential Equations, 32(2), 181-190. https://doi.org/10.4208/jpde.v32.n2.7