DMCA
THE LOW REGULARITY GLOBAL SOLUTIONS FOR THE CRITICAL GENERALIZED KDV EQUATION (908)
by
Changxing Miao
,
Shuanglin Shao
,
Guixiang Xu
| Citations: | 6 - 2 self |
BibTeX
@MISC{Miao908thelow,
author = {Changxing Miao and Shuanglin Shao and Guixiang Xu},
title = {THE LOW REGULARITY GLOBAL SOLUTIONS FOR THE CRITICAL GENERALIZED KDV EQUATION},
year = {908}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. In this paper, we establish the global well-posedness for the critical generalized KdV equation with the low regularity data. To be precise, we show that a unique and global solution exists for initial data in the Sobolev space Hs`R ´ with s> 1. Of course, we require that the mass is strictly less than 2 that of the ground state in the focusing case. This follows from “I-method”, which was introduced by Colliander, Keel, Staffilani, Takaoka and Tao, and improves the result in [20]. 1.
