Construction of Quasi-periodic solutions with the same Gevrey index as nonlinear terms in Multi-Dimensional NLS
Analysis of PDEs
2025-04-23 v2 Dynamical Systems
Abstract
We investigate the persistency of quasi-periodic solutions to multi-dimensional nonlinear Schr\"{o}dinger equations (NLS) involving Gevrey smooth nonlinearity with an arbitrary Gevrey index . By applying the Craig-Wayne-Bourgain (CWB) method, we establish the existence of quasi-periodic solutions that are Gevrey smooth with the same Gevrey index as the nonlinearity.
Keywords
Cite
@article{arxiv.2410.11249,
title = {Construction of Quasi-periodic solutions with the same Gevrey index as nonlinear terms in Multi-Dimensional NLS},
author = {Zuhong You and Xiaoping Yuan},
journal= {arXiv preprint arXiv:2410.11249},
year = {2025}
}