TITLE:
Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms
AUTHORS:
Liang Guo, Zhaoqin Yuan, Guoguang Lin
KEYWORDS:
Viscoelastic Equation, Blow Up, Global Existence
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.5,
May
14,
2015
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.