THE SOBOLEV-MORAWETZ APPROACH FOR THE ENERGY SCATTERING OF NONLINEAR SCHRODINGER-TYPE EQUATIONS WITH RADIAL DATA

被引：1
|
作者：
Van Duong Dinh [1 ,2 ]
Keraani, Sahbi [1 ]
机构：
[1] Univ Lille, CNRS, Lab Paul Painleve, UMR 8524, F-59655 Villeneuve Dascq, France
[2] HCMC Univ Pedag, Dept Math, 280 An Duong Vuong, Ho Chi Minh, Vietnam
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 08期
关键词：
Nonlinear Choquard equation; Ground state; Scattering; Radial Sobolev embedding;   Nonlinear Schrodinger equation; GROUND-STATE; BLOW-UP; UNIQUENESS; EXISTENCE; PROOF;
D O I：
10.3934/dcdss.2020407
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on recent works of Dodson-Murphy [12] and Arora-DodsonMurphy [3], we give a unified approach for the energy scattering with radially symmetric initial data for nonlinear Schrodinger equations and nonlinear Choquard equations in any dimensions N > 2. We also discuss its applications for other Schrodinger-type equations.
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页码：2837 / 2876
页数：40
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