摘要
In this paper, we study the existence and uniqueness of solutions for several classes of stochastic evolution equations with non-Lipschitz coefficients, that contains backward stochastic evolution equations, stochastic Volterra type evolution equations and stochastic functional evolution equations. In particular, the results can be used to treat a large class of quasi-linear stochastic equations, which includes the reaction diffusion and porous medium equations.
源语言 | 英语 |
---|---|
页(从-至) | 549-595 |
页数 | 47 |
期刊 | Stochastics and Dynamics |
卷 | 9 |
期 | 4 |
DOI | |
出版状态 | 已出版 - 12月 2009 |
已对外发布 | 是 |
指纹
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Zhang, X. (2009). On stochastic evolution equations with non-lipschitz coefficients. Stochastics and Dynamics, 9(4), 549-595. https://doi.org/10.1142/S0219493709002774