On the Stochastic Wave Equation with Nonlinear Damping

被引：0
作者：
Jong Uhn Kim
机构：
[1] Virginia Tech,Department of Mathematics
来源：
Applied Mathematics and Optimization | 2008年 / 58卷
关键词：
Wave equation; Nonlinear damping; Initial boundary value problem; Brownian motion; Invariant measure;
D O I：
暂无
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学科分类号：
摘要：
We discuss an initial boundary value problem for the stochastic wave equation with nonlinear damping. We establish the existence and uniqueness of a solution. Our method for the existence of pathwise solutions consists of regularization of the equation and data, the Galerkin approximation and an elementary measure-theoretic argument. We also prove the existence of an invariant measure when the equation has pure nonlinear damping.
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页码：29 / 67
页数：38
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