One-dimensional stochastic Burgers equation driven by Levy processes

doi:10.1016/j.jfa.2006.09.010

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	One-dimensional stochastic Burgers equation driven by Levy processes
	Dong, Z.; Xu, T. G.
	2007-02-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	243 期号:2 页码:631-678
摘要	In this paper, we proved the global existence and uniqueness of the strong, weak and mild solutions for one-dimensional Burgers equation perturbed by a Poisson form process, a Poisson form and Q-Wiener process with the Dirichlet bounded condition. We also proved the existence of the invariant measure of these models. (C) 2006 Elsevier Inc. All rights reserved.
关键词	Burgers equation Levy process Q-Wiener process strong solution weak solution mild solution invariant measure
DOI	10.1016/j.jfa.2006.09.010
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000244440400007
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/4815
专题	应用数学研究所
通讯作者	Dong, Z.
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dong, Z.,Xu, T. G.. One-dimensional stochastic Burgers equation driven by Levy processes[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2007,243(2):631-678.
APA	Dong, Z.,&Xu, T. G..(2007).One-dimensional stochastic Burgers equation driven by Levy processes.JOURNAL OF FUNCTIONAL ANALYSIS,243(2),631-678.
MLA	Dong, Z.,et al."One-dimensional stochastic Burgers equation driven by Levy processes".JOURNAL OF FUNCTIONAL ANALYSIS 243.2(2007):631-678.