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  • 标题:Local nondeterminism and the exact modulus of continuity for stochastic wave equation
  • 本地全文:下载
  • 作者:Cheuk Yin Lee ; Yimin Xiao
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2019
  • 卷号:24
  • DOI:10.1214/19-ECP264
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:We consider the linear stochastic wave equation driven by a Gaussian noise which is white in time and colored in space. We show that the solution satisfies a certain form of strong local nondeterminism and we use this property to derive the exact uniform modulus of continuity for the solution.
  • 关键词:stochastic wave equation; strong local nondeterminism; uniform modulus of continuity; Gaussian random field
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