DMCA
Almost Morawetz estimates and global well-posedness for the defocusing L 2-critical nonlinear Schrödinger equation in higher dimensions (2009)
by
Ben Dodson
| Citations: | 5 - 5 self |
BibTeX
@MISC{Dodson09almostmorawetz,
author = {Ben Dodson},
title = {Almost Morawetz estimates and global well-posedness for the defocusing L 2-critical nonlinear Schrödinger equation in higher dimensions},
year = {2009}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract: In this paper, we consider the global well-posedness of the defocusing, L2- critical nonlinear Schrödinger equation in dimensions n ≥ 3. Using the I-method, we show the problem is globally well-posed in n = 3 when s> 2 n−2 5, and when n ≥ 4, for s> n. We combine energy increments for the I-method, interaction Morawetz estimates, and almost Morawetz estimates to prove the result. 1
