Global well-posedness for KdV in Sobolev Spaces of negative index
Analysis of PDEs
2007-05-23 v1
Abstract
The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in H^s({\mathbb{R}), -3/10<s.
Cite
@article{arxiv.math/0101261,
title = {Global well-posedness for KdV in Sobolev Spaces of negative index},
author = {J. Colliander and M. Keel and G. Staffilani and H. Takaoka and T. Tao},
journal= {arXiv preprint arXiv:math/0101261},
year = {2007}
}
Comments
5 pages. Electronic Journal of Differential equations (submitted)