Work

Stochastic logarithmic Schrödinger equations driven by Lévy noise

Year: 2025

Type: article

Abstract: 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.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2025102

Authors: Jiahui Zhu, Jianliang Zhai

Institutions: Zhejiang University of Technology, University of Science and Technology of China

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities