BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space

doi:10.1016/j.crma.2010.10.018

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	BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space
	Rockner, Michael 1; Zhu, Rongchan ; Zhu, Xiangchan3
	2010-11-01
发表期刊	COMPTES RENDUS MATHEMATIQUE
ISSN	1631-073X
卷号	348 期号:21-22 页码:1175-1178
摘要	In this Note we Introduce BV functions in a Gelfand triple which is an extension of BV functions in Ambrosio et al preprint [1] by using Dirichlet form theory By this definition we can consider the stochastic reflection problem associated with a self adjoint operator A and a cylindrical Wiener process on a convex set Gamma We prove the existence and uniqueness of a strong solution of this problem when Gamma is a regular convex set The result is also extended to the non symmetric case Finally we extend our results to the case when Gamma = K(alpha) where K(alpha) = {f is an element of L(2)(0 1) vertical bar f >= -alpha} alpha >= 0 (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved
DOI	10.1016/j.crma.2010.10.018
语种	英语
资助项目	973 project ; NSFC key Lab of CAS ; DFG[IRTG 1132] ; DFG[CRC 701] ; I Newton Institute Cambridge UK
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000285075600008
出版者	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10819
专题	应用数学研究所
通讯作者	Rockner, Michael
作者单位	1.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Rockner, Michael,Zhu, Rongchan,Zhu, Xiangchan. BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space[J]. COMPTES RENDUS MATHEMATIQUE,2010,348(21-22):1175-1178.
APA	Rockner, Michael,Zhu, Rongchan,&Zhu, Xiangchan.(2010).BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space.COMPTES RENDUS MATHEMATIQUE,348(21-22),1175-1178.
MLA	Rockner, Michael,et al."BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space".COMPTES RENDUS MATHEMATIQUE 348.21-22(2010):1175-1178.