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Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations

Jan van Neerven, Mark Veraar

2020Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences11 citationsDOIOpen Access PDF

Abstract

This paper presents a survey of maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and their applications to stochastic evolution equations. This article is part of the theme issue 'Semigroup applications everywhere'.

Topics & Concepts

Banach spaceSemigroupMathematicsPure mathematicsInequalityApplied mathematicsMathematical analysisAdvanced Harmonic Analysis ResearchNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering