Article ID Journal Published Year Pages File Type
4611986 Journal of Differential Equations 2008 29 Pages PDF
Abstract

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 time of the solutions of the Zakai equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis