Over the past fifteen years, motivated by regularity problems in evolution equations, there
has been tremendous progress in the analysis of Banach space-valued functions and …

Now in its second edition, this book gives a systematic and self-contained presentation of
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …

We introduce a notion of an asymptotically compact (AC) random dynamical system (RDS).
We prove that for an AC RDS the $\Omega $-limit set $\Omega _B (\omega) $ of any …

In this paper we present a framework in which one can rigorously study the effect of spatio-
temporal noise on traveling waves, stationary patterns, and oscillations that are invariant …

We show that the stochastic 3D primitive equations with the Neumann boundary condition
on the top, the lateral Dirichlet boundary condition and either the Dirichlet or the Neumann …

We present remarkably simple proofs of Burkholder--Davis--Gundy inequalities for
stochastic integrals and maximal inequalities for stochastic convolutions in Banach spaces …

Czechoslovak Mathematical Journal Page 1 Czechoslovak Mathematical Journal Erika
Hausenblas; Jan Seidler A note on maximal inequality for stochastic convolutions …

Reflection of stochastic evolution equations in infinite dimensional domains Page 1 Annales de
l’Institut Henri Poincaré - Probabilités et Statistiques 2023, Vol. 59, No. 3, 1549–1571 …

Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to
stochastic evolution equations | Philosophical Transactions of the Royal Society A …

Originally conceived to be the final volume of a trilogy on Analysis in Banach spaces,
containing the applications of the infrastructure of Volumes I–II to Harmonic and Stochastic …