Large deviations principle for the cubic NLS equation with slowly decaying data
Analysis of PDEs
2025-12-09 v1 Probability
Abstract
In this note, we prove a sharp large derivation principle (LDP) for the cubic nonlinear Schr\"odinger equation with Gaussian random initial data in Fourier Lebesgue spaces. As a consequence, we improve the exponential decay condition in [M.A. Garrido, R. Grande, K.M. Kurianski, G. Staffilani. Commun. Pure Appl. Math. 76 (2023), 4087--4136] to decay.
Cite
@article{arxiv.2512.07773,
title = {Large deviations principle for the cubic NLS equation with slowly decaying data},
author = {Rui Liang and Yuzhao Wang},
journal= {arXiv preprint arXiv:2512.07773},
year = {2025}
}
Comments
18 pages