Non Monotone Stochastic Evolution Equations

Abstract

An approach to stochastic evolution equations based on a simple generalization of known embedding theorems is presented. It allows for the inclusion of problems which have nonlinear non monotone operators. This is used to discuss the existence of strong solutions to a stochastic Navier Stokes problem in dimension less than four.

This paper has been withdrawn by the authors. The proof is not right. There are some mistakes in the measurable selection part