EXISTENCE AND STABILITY OF GROUND STATES FOR THE HARTREE EQUATION WITH A MAGNETIC FIELD

被引：0
|
作者：
Mao, Weifeng [1 ]
Zhang, Jian [1 ]
机构：
[1] Univ Elect Sci & Technol China, Chengdu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Hartree equation; magnetic field; normalized ground state; orbital stability; NONLINEAR SCHRODINGER-EQUATIONS; STATIONARY STATES; STANDING WAVES; OPERATORS;
D O I：
10.3934/dcdsb.2023174
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the Cauchy problem for the Hartree equation with a constant magnetic field in three dimensions, which is an effective model of the initially factorized Bosonic state in the mean-field limit. We study the existence and orbital stability of normalized ground state standing waves corresponding to different indexes of Riesz potentials.
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页码：2213 / 2226
页数：14
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