Scattering threshold for the focusing Choquard equation

被引:20
作者
Saanouni, Tarek [1 ,2 ]
机构
[1] Qassim Univ, Buraydah, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, LR03ES04 Partial Differential Equat & Applicat, Tunis 2092, Tunisia
来源
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2019年 / 26卷 / 06期
关键词
Nonlinear Schrodinger-Choquard equation; Global existence; Scattering; Blow-up; GLOBAL WELL-POSEDNESS; BLOW-UP; CAUCHY-PROBLEM; INSTABILITY; DYNAMICS; SOLITON;
D O I
10.1007/s00030-019-0587-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is the purpose of this note, to obtain a scattering versus finite time blow-up dichotomy for a mass super-critical and energy sub-critical Choquard equation in the energy space.
引用
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页数:32
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