Scattering for Focusing Combined Power-type NLS

作     者：Jian XIE 

作者机构：Department of Mathematics Hangzhou Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第5期

页      面：805-826页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：Nonlinear Schroodinger equation scattering concentration-compactness method 

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.