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Stochastic viscoelastic wave equations with nonlinear damping and source terms
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نویسنده
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cheng s. ,guo y. ,tang y.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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The goal of this paper is to study an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and source terms. under certain conditions on the initial data: the relaxation function,the indices of nonlinear damping,and source terms and the random force,we prove the local existence and uniqueness of solution by the galerkin approximation method. then,considering the relationship between the indices of nonlinear damping and nonlinear source,we give the necessary conditions of global existence and explosion in finite time in some sense of solutions,respectively. © 2014 shuilin cheng et al.
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آدرس
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school of mathematics and statistics,huazhong university of science and technology,wuhan, China, school of mathematics and statistics,huazhong university of science and technology,wuhan, China, school of mathematics and statistics,huazhong university of science and technology,wuhan, China
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Authors
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