Scattering versus blow-up beyond the threshold for the focusing Choquard equation

被引：4

作者：

Saanouni, Tarek ^{[1
]}

机构：

[1] Qassim Univ, Coll Sci & Arts Uglat Asugour, Dept Math, Buraydah, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 492卷 / 01期

关键词：

Nonlinear Schrodinger-Choquard equation; Global existence; Scattering; Blow-up; GLOBAL WELL-POSEDNESS; DEFOCUSING HARTREE EQUATION; CAUCHY-PROBLEM; INSTABILITY; DYNAMICS; SOLITON;

D O I：

10.1016/j.jmaa.2020.124436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note investigates the Choquard equation i<(u)over dot> + Delta u + (I-alpha * vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u = 0. Indeed, above the mass-energy threshold, a scattering versus finite time blow-up dichotomy is obtained in the mass super-critical and energy sub-critical regime. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：30

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