Maximal estimates 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.

minor changes. Accepted for publication in Philosophical Transactions of the Royal Society A

References in corpus (3)

• Stochastic integration in UMD Banach spaces
• Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes
• Strong martingale type and uniform smoothness

Cited by in corpus (3)

• Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes
• Pathwise Uniform Convergence of Time Discretisation Schemes for SPDEs
• Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation