Remark on energy-critical NLS in 5D

被引：3
|
作者：
Cheng, Xing [1 ]
Gao, Yanfang [2 ]
Zheng, Jiqiang [3 ]
机构：
[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[2] Fujian Normal Univ, Dept Math, Fuzhou 350007, Fujian, Peoples R China
[3] Univ Nice Sophia Antipolis, Lab Math JA Dieudonne, F-06108 Nice 02, France
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 08期
基金：
欧洲研究理事会;
关键词：
Schrodinger equation; well-posedness; scattering; almost periodic solution; long-time Strichartz estimate; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; SCATTERING; DIMENSIONS;
D O I：
10.1002/mma.3627
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We reprove global well-posedness and scattering for the defocusing energy-critical nonlinear Schrodinger equation in five dimensions. Inspired by the recent work of Killip and Visan, we adapt the Dodson's strategy long-time Strichartz estimate' used in the work on mass-critical nonlinear Schrodinger equation sets. Copyright (c) 2015 John Wiley & Sons, Ltd.
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页码：2100 / 2117
页数：18
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