Maximal Lp-Regularity for Stochastic Evolution Equations

Convergence Rates of the Splitting Scheme for Parabolic Linear Stochastic Cauchy Problems

Ito's formula in UMD Banach spaces and regularity of solution of the Zakai equation

Using the theory of stochastic integration for processes with values in a UMD Banach space developed recently by the authors, an Itô formula is proved which is applied to prove the existence of strong solutions for a class of stochastic evolution equations in UMD Banach spaces. The abstract results are applied to prove regularity in space and...