Analytically weak solutions to SPDEs with unbounded time-dependent   differential operators and an application
  We analyze the concepts of analytically weak solutions of stochastic differential equations (SDEs) in Hilbert spaces with time-dependent unbounded operators and give conditions for existence and uniqueness of such solutions. Our studies are motivated by a stochastic partial differential equation (SPDE) arising in industrial mathematics. 
Benedict Baur, Martin Grothaus and Tan Thanh Mai
math.FA