DMCA
Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm
| Venue: | Commun. Pure Appl. Anal |
| Citations: | 9 - 3 self |
BibTeX
@ARTICLE{Colliander_polynomialupper,
author = {J. Colliander and M. Keel and G. Staffilani and H. Takaoka and T. Tao},
title = {Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm},
journal = {Commun. Pure Appl. Anal},
year = {},
pages = {33--50}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. We continue the study (initiated in [18]) of the orbital stability of the ground state cylinder for focussing non-linear Schrödinger equations in the H s (R n) norm for 1 − ε < s < 1, for small ε. In the L 2-subcritical case we obtain a polynomial bound for the time required to move away from the ground state cylinder. If one is only in the H 1-subcritical case then we cannot show this, but for defocussing equations we obtain global well-posedness and polynomial growth of H s norms for s sufficiently close to 1. 1.
