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BLOW-UP PHENOMENA OF ARBITRARY POSITIVE INITIAL ENERGY SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

BLOW-UP PHENOMENA OF ARBITRARY POSITIVE INITIAL ENERGY SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

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In this paper, we considered the Dirichlet initial bound-ary value problem of a nonlinear viscoelastic wave equation with nonlinear damping and source terms, and investigated nite time blow-up phenomena of the solutions to the equation with arbitrary positive initial data, under suitable conditions.

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