KAM for quasi-linear autonomous NLS
Analysis of PDEs
2017-05-23 v1
Abstract
We consider a class of fully nonlinear Schr\"odinger equations and we prove the existence and the stability of Cantor families of quasi-periodic, small amplitude solutions. We deal with reversible autonomous nonlinearities and we look for analytic solutions. Note that this is the first result on analytic quasi-periodic solutions for fully nonlinear PDEs.
Cite
@article{arxiv.1705.07287,
title = {KAM for quasi-linear autonomous NLS},
author = {Roberto Feola and Michela Procesi},
journal= {arXiv preprint arXiv:1705.07287},
year = {2017}
}