关键词: 随机偏微分方程, 能量解, 存在唯一性

Abstract: In this paper， we made use of a new method to study the existence and uniqueness for solution of stochastic functional partial differential equations in separable Hilbert spaces. Firstly，by means of Burkholder- Davis- Gundy inequality and Gronwalllemma，the uniqueness of solution was obtained. Then，the iterative process converging to the process u ( t ) was obtained. Finally，we proved the convergent process u ( t ) was the solution of stochastic functional partial differential equations.

Key words: stochastic partial differential equations, energy solution, existence and uniqueness