PERIODIC AND INVARIANT MEASURES FOR STOCHASTIC WAVE EQUATIONS

被引：0
|
作者：
Kim, Jong Uhn [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年
关键词：
Wave equation; Brownian motion; periodic measure; invariant measure; probability distribution; tightness;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the existence of periodic and invariant measures for a semilinear wave equation with random noise. These are counterparts of time-periodic and stationary solutions of a deterministic equation. The key element in our analysis is to prove that the family of probability distributions of a solution is tight.
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页数：30
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