KMS Of Academy of mathematics and systems sciences, CAS
| BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space | |
Rockner, Michael1; Zhu, Rongchan; Zhu, Xiangchan3
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| 2010-11-01 | |
| Source Publication | COMPTES RENDUS MATHEMATIQUE
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| ISSN | 1631-073X |
| Volume | 348Issue:21-22Pages:1175-1178 |
| Abstract | 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 |
| Language | 英语 |
| Funding Project | 973 project ; NSFC key Lab of CAS ; DFG[IRTG 1132] ; DFG[CRC 701] ; I Newton Institute Cambridge UK |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000285075600008 |
| Publisher | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/10819 |
| Collection | 应用数学研究所 |
| Corresponding Author | Rockner, Michael |
| Affiliation | 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 |
| Recommended Citation 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. |
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