# NOTE ON ABSTRACT STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS

• Ta, Ton Viet (Promotive Center for International Education and Research of Agriculture Faculty of Agriculture Kyushu University)
• Published : 2017.05.01
• 52 21

#### Abstract

This paper is devoted to studying abstract stochastic semilinear evolution equations with additive noise in Hilbert spaces. First, we prove the existence of unique local mild solutions and show their regularity. Second, we show the regular dependence of the solutions on initial data. Finally, some applications to stochastic partial differential equations are presented.

#### Keywords

stochastic evolution equations;analytic semigroups;regularity

#### Acknowledgement

Supported by : JSPS

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