We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.
"On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise." Kyoto J. Math. 60 (4) 1227 - 1243, December 2020. https://doi.org/10.1215/21562261-2019-0060