Dynamics of the nonlinear stochastic heat equation with singular perturbation

doi:10.1016/j.jmaa.2006.11.046

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	Dynamics of the nonlinear stochastic heat equation with singular perturbation
	Lv, Yan ; Wang, Wei
	2007-09-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	333 期号:2 页码:695-711
摘要	The approximation in probability for a singular perturbed nonlinear stochastic heat equation is studied. First the approximation result in the sense of probability is obtained for solutions defined on any finite time interval. Furthermore it is proved that the long time behavior of the stochastic system is described by a global random attractor which is upper semi-continuous with respect to the singular perturbed parameter. This also means the long time effectivity of the approximation with probability one. (c) 2006 Elsevier Inc. All rights reserved.
关键词	singular perturbation nonlinear stochastic heat equation random dynamical system random attractor
DOI	10.1016/j.jmaa.2006.11.046
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000247573200012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4830
专题	中国科学院数学与系统科学研究院
通讯作者	Lv, Yan
作者单位	1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lv, Yan,Wang, Wei. Dynamics of the nonlinear stochastic heat equation with singular perturbation[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,333(2):695-711.
APA	Lv, Yan,&Wang, Wei.(2007).Dynamics of the nonlinear stochastic heat equation with singular perturbation.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,333(2),695-711.
MLA	Lv, Yan,et al."Dynamics of the nonlinear stochastic heat equation with singular perturbation".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 333.2(2007):695-711.