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

Jan van Neerven; Mark Veraar

doi:10.1098/rsta.2019.0622

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

Jan van Neerven, Mark Veraar

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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'.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	378
Issue number	2185
DOIs	https://doi.org/10.1098/rsta.2019.0622
Publication status	Published - 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

2-smooth Banach spaces
evolution families
maximal inequalities
semigroups of operators
stochastic convolutions
stochastic evolution equations

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10.1098/rsta.2019.0622

RSTA20190622 FinalFinal published version, 455 KB

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

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'.",

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author = "{van Neerven}, Jan and Mark Veraar",

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AU - Veraar, Mark

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PY - 2020

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KW - 2-smooth Banach spaces

KW - evolution families

KW - maximal inequalities

KW - semigroups of operators

KW - stochastic convolutions

KW - stochastic evolution equations

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DO - 10.1098/rsta.2019.0622

M3 - Review article

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JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

IS - 2185

ER -

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

Abstract

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Keywords

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