MASS-ENERGY THRESHOLD DYNAMICS FOR THE FOCUSING NLS WITH A REPULSIVE INVERSE-POWER POTENTIAL

被引：0
|
作者：
Ardila, Alex h. [1 ]
Hamano, Masaru [2 ]
Ikeda, Masahiro [3 ,4 ]
机构：
[1] Univ Valle, Dept Math, Cali, Colombia
[2] Waseda Univ, Fac Sci & Engn, 3-4-1 Okubo,Shinjuku Ku, Tokyo 1698555, Japan
[3] Keio Univ, Fac Sci & Technol, Dept Math, 3-14-1 Hiyoshi,Kohoku ku, Yokohama 2238522, Japan
[4] Riken, Ctr Adv Intelligence Project, Chuo, Japan
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2024年 / 13卷 / 05期
关键词：
NLS with a inverse-power potential; ground state; scattering; blow-; up; compactness; NONLINEAR SCHRODINGER-EQUATIONS; SCATTERING;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exactly at the mass-energy threshold, namely, when E V ( u 0 ) M ( u 0 ) = E 0 ( Q ) M ( Q ). Moreover, we prove failure of the uniform space-time bounds at the mass-energy threshold.
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页码：1401 / 1422
页数：22
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