Growth of Sobolev norms for the quintic NLS on $\mathbb T^2$
Analysis of PDEs
2017-09-08 v1
Abstract
We study the quintic Non Linear Schr\"odinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of the cubic NLS. This requires an accurate combinatorial analysis.
Cite
@article{arxiv.1405.1538,
title = {Growth of Sobolev norms for the quintic NLS on $\mathbb T^2$},
author = {Emanuele Haus and Michela Procesi},
journal= {arXiv preprint arXiv:1405.1538},
year = {2017}
}
Comments
41 pages, 5 figures. arXiv admin note: text overlap with arXiv:0808.1742 by other authors