Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise

Viorel Barbu, Zdzisław Brzeźniak, Erika Hausenblas +1

The solution $X_n$ to a nonlinear stochastic differential equation of the form $dX_n(t)+A_n(t)X_n(t)\,dt-\tfrac12\sum_{j=1}^N(B_j^n(t))^2X_n(t)\,dt=\sum_{j=1}^N B_j^n(t)X_n(t)dβ_j^…