On the stochastic wave equation with nonlinear damping

被引：24

作者：

Kim, Jong Uhn ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2008年 / 58卷 / 01期

关键词：

wave equation; nonlinear damping; initial boundary value problem; Brownian motion; invariant measure;

D O I：

10.1007/s00245-007-9029-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：29 / 67

页数：39

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