Lq(Lp) theory and Hölder estimates for parabolic SPDEs

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Abstract

Hölder estimates are given for the solutions of parabolic stochastic partial differential equations in C1 domains. Also existence and uniqueness theorems are presented in Lp-spaces with weights. It is allowed that the powers of summability with respect to space and time to be different.

Original languageEnglish
Pages (from-to)313-330
Number of pages18
JournalStochastic Processes and their Applications
Volume114
Issue number2
DOIs
Publication statusPublished - 2004 Dec 1
Externally publishedYes

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Keywords

  • Hölder estimate
  • Stochastic partial differential equations

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Mathematics(all)
  • Statistics and Probability
  • Modelling and Simulation

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