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

共 50 条

[41] Profiles for the Radial Focusing 4d Energy-Critical Wave Equation
Cote, R.
Kenig, C. E.
Lawrie, A.
Schlag, W.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 357 (03) : 943 - 1008
[42] A REMARK ON ALMOST SURE GLOBAL WELL-POSEDNESS OF THE ENERGY-CRITICAL DEFOCUSING NONLINEAR WAVE EQUATIONS IN THE PERIODIC SETTING
Oh, Tadahiro
Pocovnicu, Oana
TOHOKU MATHEMATICAL JOURNAL, 2017, 69 (03) : 455 - 481
[43] Profiles for the Radial Focusing 4d Energy-Critical Wave Equation
R. Côte
C. E. Kenig
A. Lawrie
W. Schlag
Communications in Mathematical Physics, 2018, 357 : 943 - 1008
[44] On energy-critical half-wave maps into
Lenzmann, Enno
Schikorra, Armin
INVENTIONES MATHEMATICAE, 2018, 213 (01) : 1 - 82
[45] A CONTROLLING NORM FOR ENERGY-CRITICAL SCHRODINGER MAPS
Dodson, Benjamin
Smith, Paul
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (10) : 7193 - 7220
[46] Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5
Jendrej, Jacek
Martel, Yvan
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 139 : 317 - 355
[47] Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on Rd, d=4 and 5
Pocovnicu, Oana
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2017, 19 (08) : 2521 - 2575
[48] On the Cauchy problem of 3-D energy-critical Schrodinger equations with subcritical perturbations
Zhang, Xiaoyi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 230 (02) : 422 - 445
[49] Decay estimates for defocusing energy-critical Hartree equation
Chen, Miao
Wang, Hua
Yao, Xiaohua
ADVANCED NONLINEAR STUDIES, 2024, 24 (04) : 793 - 804
[50] CHALLENGE TO US GLASS MANUFACTURERS IN THESE ENERGY-CRITICAL TIMES
HIBSCHER, CW
STEITZ, WR
AMERICAN CERAMIC SOCIETY BULLETIN, 1975, 54 (06): : 571 - &

← 1 2 3 4 5 →