Global Well-Posedness for the Periodic Generalized Korteweg-De Vries Equation

被引：0
|
作者：
Bao, Jiguang [1 ]
Wu, Yifei [2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2017年 / 66卷 / 05期
关键词：
Generalized KdV equation; Bourgain space; well-posedness; I-method; NONLINEAR SCHRODINGER-EQUATION; KDV EQUATION; LOW REGULARITY; ILL-POSEDNESS; CAUCHY-PROBLEM; BOUNDARY-CONDITION; I-METHOD; MKDV; SCATTERING; NLS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show the global well-posedness for periodic gKdV equations in the space H-s(T), s >= 1/2 for the quartic case, and s > 5/9 for the quintic case. These improve the previous results of Colliander et al. in 2004. In particular, the result is sharp in the quartic case.
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页码：1797 / 1825
页数：29
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