Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms
作者： Shuilin Cheng , Yantao Guo , Yanbin Tang
DOI: 10.1155/2014/450289
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摘要: The goal of this paper is to study an initial boundary value problem stochastic viscoelastic wave equation with nonlinear damping and source terms. Under certain conditions on the data: relaxation function, indices damping, and source terms random force, we prove local existence uniqueness solution by Galerkin approximation method. Then, considering relationship between the indices source, give necessary conditions of global explosion in finite time some sense solutions, respectively.
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