A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class

Röckner M, Wang Y. A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2009;12(2):353-358.This note deals with existence and uniqueness of (variational) solutions to the following type of stochastic partial differential equations on a Hilbert space H dX(t) = A(t, X(t))dt + B(t, X(t))dW(t) + h(t)dG(t), where A and B are random nonlinear operators satisfying monotonicity conditions and G is an infinite dimensional Gaussian process adapted to the same filtration as the cylindrical Wiener process W(t), t >= 0