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NOTE ON ABSTRACT STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS
Tˆon Viˆe. TA 대한수학회 2017 대한수학회지 Vol.54 No.3
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.