一类带有时间平均的随机偏微分方程

摘要

在特别的线性增长条件和李普希兹条件下，利用Banach不动点定理证明了带有时间平均的无穷维随机偏微分方程的温和解的存在性和唯一性。%Based on Banach�s fixed point theorem,the paper proves the existence and uniqueness of mild solution of stochastic partial differential equation with the time average under the special linear growth condition and the special Lipschtiz condition.