Stability properties of stochastic maximal Lp-regularity

Antonio Agresti, Mark Veraar*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)
40 Downloads (Pure)

Abstract

In this paper we consider Lp-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal Lp-regularity. Our aim is to find a theory which is analogously to Dore's theory for deterministic evolution equations. He has shown that maximal Lp-regularity is independent of the length of the time interval, implies analyticity and exponential stability of the semigroup, is stable under perturbation and many more properties. We show that the stochastic versions of these results hold.

Original languageEnglish
Article number123553
Pages (from-to)1-35
Number of pages35
JournalJournal of Mathematical Analysis and Applications
Volume482
Issue number2
DOIs
Publication statusPublished - 2020

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care

Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • Analytic semigroup
  • Sobolev spaces
  • Stochastic maximal regularity
  • Temporal weights

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