Note on abstract stochastic semilinear evolution equations
Probability
2016-11-15 v2
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
Cite
@article{arxiv.1508.07211,
title = {Note on abstract stochastic semilinear evolution equations},
author = {Ton Viet Ta},
journal= {arXiv preprint arXiv:1508.07211},
year = {2016}
}
Comments
35 pages. To appear in J. Korean Math. Soc