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arXiv · 2412.12897

Stochastic logarithmic Schr\"odinger equations driven by L\'evy noise

Jiahui Zhu·Jianliang Zhai
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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.

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Jiahui Zhu, Jianliang Zhai. 2024-12-17. Stochastic logarithmic Schr\"odinger equations driven by L\'evy noise. https://arxiv.org/abs/2412.12897

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