Almost conservation laws and global rough solutions to a Nonlinear Schr\"odinger equation
Analysis of PDEs
2007-05-23 v1
Abstract
We prove an "almost conservation law" to obtain global-in-time well-posedness for the cubic, defocussing nonlinear Schr\"odinger equation in H^s(R^n) when n = 2, 3 and s > 4/7, 5/6, respectively.
Keywords
Cite
@article{arxiv.math/0203218,
title = {Almost conservation laws and global rough solutions to a Nonlinear Schr\"odinger equation},
author = {J. Colliander and M. Keel and G. Staffilani and H. Takaoka and T. Tao},
journal= {arXiv preprint arXiv:math/0203218},
year = {2007}
}
Comments
21 pages