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

2. Zero hunger 0101 mathematics 01 natural sciences
DOI: 10.4236/am.2015.65076 Publication Date: 2015-05-14T02:42:37Z
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.
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