Stochastic logarithmic Schrödinger equations driven by Lévy noise
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.
Authors
- Jiahui Zhu
- Jianliang Zhai
Institutions
- University of Science and Technology of China (CN)
Publication Details
- Journal
- Communications on Pure & Applied Analysis
- Published
- 2025-09-16
- DOI
- https://doi.org/10.3934/cpaa.2025102
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities