Abstract stochastic evolution equations on banach spaces

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Abstract
In this paper we consider two basic problems. We discuss the questions of abstract formulation of stochastic initial boundary value problems based on semi-group theory and study the regularity properties of solutions. We present this in section 2. In section 3,we consider, under various generalities, the questions of existence and uniqueness of solutions and their regularity properties for semilinear stochastic evolution equations on Banach spaces of the form For illustration, we present an example of a semilinear parabolic system in which distributed White noise appears under spatial derivatives