Global Well-Posedness and Scattering for the Defocusing H^s-Critical NLS  

作　　者：Jian XIE Daoyuan FANG 

机构地区：[1]Department of Mathematics,Hangzhou Normal University [2]Department of Mathematics,Zhejiang University

出　　处：《Chinese Annals of Mathematics,Series B》2013年第6期801-842,共42页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.10931007,11226184,11271322);the Zhejiang Provincial Natural Science Foundation of China(No.Z6100217)

摘　　要：The authors consider the scattering phenomena of the defocusing H^s-critical NLS.It is shown that if a solution of the defocusing NLS remains bounded in the critical homogeneous Sobolev norm on its maximal interval of existence,then the solution is global and scatters.

关 键 词：Nonlinear SchrSdinger equation SCATTERING Global well-posedness 

分 类 号：O175[理学—数学]