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.

引用

页码：2213 / 2226

页数：14

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