Stochastic logarithmic Schrödinger equations driven by Lévy noise

Abstract

In this paper, we study the stochastic logrithmic Schrödinger equation with saturated nonlinear multiplicative Lévy noise. The global well-posedness is established for the stochastic logrithmic Schrödinger equation in an appropriate Orlicz space by construct solutions of a regularized equation converging strongly to a solution to the original equation.