Lq(Lp) theory and Hölder estimates for parabolic SPDEs

Research output: Contribution to journalArticle

13 Citations (Scopus)

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
Externally publishedYes

Keywords

  • Hölder estimate
  • Stochastic partial differential equations

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

Fingerprint Dive into the research topics of 'L<sub>q</sub>(L<sub>p</sub>) theory and Hölder estimates for parabolic SPDEs'. Together they form a unique fingerprint.

  • Cite this