Scattering for Focusing Combined Power-type NLS  

作　　者：Jian XIE 

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

出　　处：《Acta Mathematica Sinica,English Series》2014年第5期805-826,共22页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11226184,11226065,11271322 and11271105)

摘　　要：We consider the scattering of Cauchy problem for the focusing combined power-type Schroodinger equation. In the spirit of concentration-compactness method, we will show that, H1 solution will scatter under some condition on its energy and mass. We adapt some variance argument, following the idea of Ibrahim–Masmoudi–Nakanishi.We consider the scattering of Cauchy problem for the focusing combined power-type Schroodinger equation. In the spirit of concentration-compactness method, we will show that, H1 solution will scatter under some condition on its energy and mass. We adapt some variance argument, following the idea of Ibrahim–Masmoudi–Nakanishi.

关 键 词：Nonlinear Schroodinger equation SCATTERING concentration-compactness method 

分 类 号：O175[理学—数学]