Global well-posedness for gKdV-3 in Sobolev spaces of negative index

被引：1
|
作者：
Zhang, Zhi Fei [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
KdV equation; global well posedness; I-method; multilinear estimate;
D O I：
10.1007/s10114-007-5597-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The initial value problem for the generalized Korteweg-deVries equation of order three on the line is shown to be globally well posed for rough data. Our proof is based on the multilinear estimate and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.
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页码：857 / 866
页数：10
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