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

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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 languageEnglish
Pages (from-to)1-21
Number of pages21
JournalPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume378
Issue number2185
DOIs
Publication statusPublished - 2020

Keywords

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

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