Stability properties of stochastic maximal L-regularity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2020Embargo end date: 01 Jan 2019 Netherlands, Italy English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 482, page 123,553 (issn: 0022-247X,

Copyright policy )Funded by:NWO | Harmonic Analysis for Sto...

Authors: Agresti A.; Veraar M.;

doi: 10.1016/j.jmaa.2019.123553 , 10.48550/arxiv.1901.08408

arXiv: 1901.08408

handle: 11573/1324739

Stability properties of stochastic maximal L-regularity

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Abstract

In this paper we consider $L^p$-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal $L^p$-regularity. Our aim is to find a theory which is analogously to Dore's theory for deterministic evolution equations. He has shown that maximal $L^p$-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.

reference added

Countries

Netherlands, Italy

Related Organizations

Sapienza University of Rome
Italy
Roma Tre University
Italy
Delft University of Technology
Netherlands

Keywords

Primary: 60H15, Secondary: 35B65, 42B37, 47D06, Probability theory on linear topological spaces, Probability (math.PR), temporal weights, analytic semigroup, Analytic semigroup, sobolev spaces, stochastic maximal regularity, temporal weights, 510, Functional Analysis (math.FA), Stochastic maximal regularity, Mathematics - Functional Analysis, Stochastic partial differential equations (aspects of stochastic analysis), stochastic maximal regularity, Temporal weights, Sobolev spaces, Analytic semigroup, FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, Stability in context of PDEs, Mathematics - Probability

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