NONLINEAR STOCHASTIC WAVE EQUATIONS: BLOW-UP OF SECOND MOMENTS IN L2-NORM
成果类型：
Article
署名作者：
Chow, Pao-Liu
署名单位：
Wayne State University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/09-AAP602
发表日期：
2009
页码：
2039-2046
关键词：
摘要：
The paper is concerned with the problem of explosive solutions for a class of nonlinear stochastic wave equations in a domain D subset of R-d for d <= 3. Under appropriate conditions on the initial data, the nonlinear term and the noise intensity is proved in Theorem 3.1 that the L-2-norm of the solution will blow up at a finite time in the mean-square sense. An example is given to show an application of the theorem.