The existence and uniqueness of energy solutions to local non-Lipschitz stochastic evolution equations |
| |
Authors: | Takeshi Taniguchi |
| |
Institution: | aDivision of Mathematical Sciences, Graduate School of Comparative Culture, Kurume University, Miimachi, Kurume, Fukuoka 839-8502, Japan |
| |
Abstract: | Let H,V and K be separable Hilbert spaces. In this paper we consider the existence and uniqueness of energy solutions to the following stochastic evolution equation: where is a linear bounded operator with coercivity, monotone condition and hemicontinuity, and are measurable functions and satisfy the local non-Lipschitz condition proposed by the author T. Taniguchi, Successive approximations to solutions of stochastic differential equations, J. Differential Equations 96 (1992) 152–169]. |
| |
Keywords: | Stochastic evolution equations Energy solutions Local non-Lipschitz condition Coercivity condition |
本文献已被 ScienceDirect 等数据库收录! |
|