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Stochastic Flows for Nonlinear SPDEs Driven by Linear Multiplicative Space-time White Noises

  • Benjamin Goldys*
  • , Xicheng Zhang
  • *Corresponding author for this work
  • University of New South Wales
  • Wuhan University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

For a nonlinear stochastic partial differential equation driven by linear multiplicative space-time white noises, we prove that there exists a bicontinuous version of the solution with respect to the initial value and thetime variable.

Original languageEnglish
Title of host publicationProgress in Probability
PublisherBirkhauser
Pages83-97
Number of pages15
DOIs
Publication statusPublished - 2011
Externally publishedYes

Publication series

NameProgress in Probability
Volume65
ISSN (Print)1050-6977
ISSN (Electronic)2297-0428

Keywords

  • Stochastic flows
  • spacetime white noises
  • stochastic partial differential equations

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