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NOTE ON ABSTRACT STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS

Tˆon Viˆe. TA
대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회지 (Journal of the KMS)|제54권 제3호|pp. 909-943

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참고문헌

키워드

regularitystochastic evolution equationsanalytic semigroups
주제분류수학

초록

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.

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.

참고문헌 (19)

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