user

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
收藏
页码：3287 / 3310
页数：24
相关论文
共 50 条
12345