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  • 标题:Central limit theorem for a fractional stochastic heat equation with spatially correlated noise
  • 本地全文:下载
  • 作者:Yumeng Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-9
  • DOI:10.1186/s13662-020-02562-8
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the central limit theorem for a perturbed stochastic heat equation in the whole space $\mathbb{R}^{d}$, $d\ge 1$. This equation is driven by a Gaussian noise, which is white in time and correlated in space, and the differential operator is a fractional derivative operator. Burkholder’s inequality plays an important role in the proof.
  • 关键词:Fractional derivative operator ; Stochastic heat equation ; Central limit theorem ;
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