Exponential Stability Estimates for the 1D NLS
Analysis of PDEs
2018-10-16 v1
Abstract
We study stability times for a family of parameter dependent nonlinear Schr\"odinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first introduced by Bourgain), we prove a rather flexible Birkhoff Normal Form theorem, which implies, e.g., exponential and sub-exponential time estimates in the Sobolev and Gevrey class respectively.
Cite
@article{arxiv.1810.06440,
title = {Exponential Stability Estimates for the 1D NLS},
author = {Biasco Luca and Jessica Elisa Massetti and Michela Procesi},
journal= {arXiv preprint arXiv:1810.06440},
year = {2018}
}
Comments
52 pages