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.

引用

页码：2100 / 2117

页数：18

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