Growth of solutions to NLS on irrational tori
Analysis of PDEs
2017-02-17 v1
Abstract
We prove polynomial bounds on the growth of higher Sobolev norms for the nonlinear Schrodinger equation set on a torus, in dimension 3, with super-cubic and sub-quintic nonlinearity. Due to improved Strichartz estimates, these bounds are better for irrational tori than they are for rational tori.
Keywords
Cite
@article{arxiv.1702.04978,
title = {Growth of solutions to NLS on irrational tori},
author = {Yu Deng and Pierre Germain},
journal= {arXiv preprint arXiv:1702.04978},
year = {2017}
}