Author(s)

Liang Guo, Zhaoqin Yuan, Guoguang Lin

Department of Mathematics, Yunnan University, Kunming, China.

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.

Viscoelastic Equation, Blow Up, Global Existence

Guo, L. , Yuan, Z. and Lin, G. (2015) Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms. Applied Mathematics, 6, 806-816. doi: 10.4236/am.2015.65076.