带跳的非线性SPDE解的存在惟一性

Existence and Uniqueness of Solutions of Nonlinear SPDE with Jumps

利用压缩映射原理研究了一类由布朗运动与Poisson点过程所驱动的随机偏微分方程弱解及mild解的存在惟一性,并证明了弱解与mild解等价,推广了Denis等的结果.

In this paper, using the contractional theory,we research the existence and uniqueness of weak and mild solutions for the nonlinear SPDE which is driven by both Poisson point process and Brownian motion. The equivalence of the two solutions is proved as well,which generalizes the corresponding results of Denis et al.