Work

A Nekhoroshev Type Theorem for the Fractional Nonlinear Schrödinger Equation

Year: 2025

Type: article

Abstract: We prove a Nekhoroshev type theorem for the fractional nonlinear Schrödinger equation under Dirichlet boundary conditions. More precisely, our findings show that the solutions with $ \varepsilon $-small initial data in the Gevrey space remain in their small magnitude over time intervals of order $ \varepsilon^{-\lvert \ln\varepsilon\rvert^{\gamma}} $ with $ 0 <\gamma<1/10 $. The result can be proved by using Birkhoff normal form method and the so-called tame property of the nonlinearity in Gevrey space.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240555

Authors: Xue Yang, Jieyu Liu, Jing Zhang

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, Science and Technology Commission of Shanghai Municipality

Awards: G1609915050, G3727624349, G7270659173, G8005554813

OpenAlex ID: W4411533869