Stochastic logarithmic Schr\"odinger equations driven by L\'evy noise
Probability
2025-02-11 v2
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.
Keywords
Cite
@article{arxiv.2412.12897,
title = {Stochastic logarithmic Schr\"odinger equations driven by L\'evy noise},
author = {Jiahui Zhu and Jianliang Zhai},
journal= {arXiv preprint arXiv:2412.12897},
year = {2025}
}