In this paper, we study the stochastic logarithmic Schrödinger equation with saturated nonlinear multiplicative Lévy noise in the Marcus canonical form. The global well-posedness is established for the stochastic logarithmic Schrödinger equation in an appropriate Orlicz space by constructing solutions of a regularized equation converging strongly to a solution to the original equation.
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Zhu et al. (2025) studied this question.
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