Global Well-posedness for gKdV-3 in Sobolev Spaces of Negative Index  

作　　者：Zhi Fei ZHANG 

机构地区：[1]School of Mathematical Science, Peking University, Beijing 100871, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第5期857-866,共10页数学学报（英文版）

基　　金：NSFC 10601002

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.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.

关 键 词：KdV equation Global well posedness I-METHOD Multilinear estimate 

分 类 号：O17[理学—数学]