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http://dx.doi.org/10.4134/JKMS.j160311

NOTE ON ABSTRACT STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS  

Ta, Ton Viet (Promotive Center for International Education and Research of Agriculture Faculty of Agriculture Kyushu University)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 909-943 More about this Journal
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;
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