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  • 标题:Innite dimensional reflecting Ornstein-Uhlenbeck stochastic process on non-convex open sets
  • 本地全文:下载
  • 作者:Khalid Akhlil
  • 期刊名称:Afrika Statistika
  • 印刷版ISSN:0825-0305
  • 出版年度:2017
  • 卷号:12
  • 期号:1
  • 页码:1117-1146
  • 出版社:African Journals Online
  • 摘要:

    In this article we introduce the Gaussian Sobolev space W 1,2( O , γ ), where O is an arbitrary open set of a separable Banach space E endowed with a non-degenerate centered Gaussian measure γ . Moreover, we investigate the semi-martingale structure of the infinite dimensional reflecting Ornstein-Uhlenbeck process for open sets of the form O = { x ∈ 2 E : G( x ) < 0}, where G is some Borel function on E .

  • 关键词:Gaussian Sobolev space; Ornstein-Uhlenbeck process; Skorohod equation; Quasi-regular Dirichlet forms
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