四川师范大学学报（自然科学版）2011，Vol.34Issue(2)：162-165,4.DOI:10.3969/j.issn.1001-8395.2011.02.005
带加性噪声的随机非线性Klein-Gordon方程
Stochastic Nonlinear Klein-Gordon Equation with Additive Noise
摘要
Abstract
In this paper, firstly, the local well-posedness of the Cauchy problem for the equation is established. Then for the equation with negative parameter nonlinearity, the global existence of solution is proved according to the energy equation and Bore-Cantelli lemma. Finally, for the equation with positive parameter nonlinearity, the solution is proved to blow up with some initial data according to the mass equation. The results obtained in this paper improve some others.关键词
随机非线性Klein-Gordon方程/整体存在/爆破Key words
stochastic nonlinear Klein-Gordon equation/ global existence/ blow up分类
数理科学引用本文复制引用
魏赟赟..带加性噪声的随机非线性Klein-Gordon方程[J].四川师范大学学报（自然科学版）,2011,34(2):162-165,4.基金项目
国家自然科学基金(10901115)资助项目 （10901115）
