Stochastic logarithmic Schrödinger equations driven by Lévy noise

Abstract: In this paper, we study the stochastic logrithmic Schr\"odinger equation with saturated nonlinear multiplicative L\'evy noise. The global well-posedness is established for the stochastic logrithmic Schr\"odinger equation in an appropriate Orlicz space by construct solutions of a regularized equation converging strongly to a solution to the original equation.