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

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DOI: 10.4236/am.2015.65076    2,495 Downloads   3,076 Views   Citations

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 pm.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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