Impacts of Gaussian noises on the blow-up times of nonlinear stochastic partial differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Impacts of Gaussian noises on the blow-up times of nonlinear stochastic partial differential equations

Authors:	Min Niu

Affiliation:	^a Department of Mathematics, Beijing University of Science and Technology, Beijing, 100083, PR China ^b International Young Researchers Empowerment Center, Shinshu University, Japan ^c Department of Mathematical Sciences, Faculty of Science, Shinshu University, 3-1-1 Asahi, Matsumoto, Nagano 390-8621, Japan

Abstract:	In this paper, a blow-up problem to nonlinear stochastic partial differential equations driven by Brownian motions is investigated. In particular, the impact of noises on the life span of solutions is studied. It is interesting to know that the noise can be used to postpone the blow-up time of a stochastic nonlinear system.

Keywords:	Blow-up time Brownian motion Impact Nonlinear stochastic partial differential equation Gamma distribution
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