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

• DOI: 10.4236/am.2015.65076
• Publication Date: 2015-05-14T02:42:37Z
• Authors: Liang Guo; Zhaoqin Yuan; Guoguang Lin
• Keywords: 2. Zero hunger; 0101 mathematics; 01 natural sciences

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.