Note on abstract stochastic semilinear evolution equations

Ton Viet Ta

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arXiv · 1508.07211

Note on abstract stochastic semilinear evolution equations

Ton Viet Ta

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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.

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Ton Viet Ta. 2016-11-14. Note on abstract stochastic semilinear evolution equations. https://arxiv.org/abs/1508.07211

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