| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4665055 | Advances in Mathematics | 2016 | 78 Pages |
Abstract
We consider the completely resonant non-linear Schrödinger equation on the two dimensional torus with any analytic gauge invariant nonlinearity. Fix s>1s>1. We show the existence of solutions of this equation which achieve arbitrarily large growth of HsHs Sobolev norms. We also give estimates for the time required to attain this growth.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
M. Guardia, E. Haus, M. Procesi,