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.

引用

页码：2837 / 2876

页数：40

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