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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 ; Zhu, Rongchan ; Zhu, Xiangchan
	2010
英文摘要	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; Mathematics; SCI(E); 0; ARTICLE; 21-22; 1175-1178; 348
语种	英语
出处	SCI
出版者	comptes rendus mathematique
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/241901]
专题	数学科学学院
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. 2010-01-01.

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