Uniqueness for stochastic non-linear wave equations

被引：6

作者：

Ondrejat, Martin ^{[1
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 12期

关键词：

stochastic wave equation;

D O I：

10.1016/j.na.2006.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of solutions of the equation u(tt) = Delta u + f(u) + g(u) W, u(0) = u(0,) u(t)(0) =v(0) on R-d in the class of processes with paths in H-1. Here (u(0), v(0)) is a random variable in H1 circle plus L-2, W is a spatially homogeneous Wiener process with finite spectral measure, and f, g are locally Lipschitz functions of subcritical growth. (c) 2007 Published by Elsevier Ltd.

引用

页码：3287 / 3310

页数：24

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