Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms

Liang Guo, Zhaoqin Yuan, Guoguang Lin

Department of Mathematics, Yunnan University, Kunming, China.

DOI: 10.4236/am.2015.65076                

Abstract

In this paper, we consider an initial-boundary value problem for a nonlinear viscoelastic wave equation with strong damping, nonlinear damping and source terms. We proved a blow up result for the solution with negative initial energy if p > m, and a global result for p ≤ m.

Keywords

Viscoelastic Equation, Blow Up, Global Existence

Conflicts of Interest

The authors declare no conflicts of interest.

References

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