Normal Form for the Schr\"odinger equation with analytic non--linearities
Analysis of PDEs
2017-09-08 v6 Algebraic Geometry
Abstract
In this paper we discuss a class of normal forms of the completely resonant non--linear Schr\"odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further analytic considerations and applications to quasi--periodic solutions will appear in a forthcoming article. This paper replaces a previous version correcting some mistakes.
Cite
@article{arxiv.1012.0446,
title = {Normal Form for the Schr\"odinger equation with analytic non--linearities},
author = {M. Procesi and C. Procesi},
journal= {arXiv preprint arXiv:1012.0446},
year = {2017}
}
Comments
52 pages, 2 figures