Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement

被引：6
|
作者：
Liu, Jiayin [1 ]
He, Zhiqian [2 ]
Feng, Binhua [3 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
[2] Qinghai Univ, Dept Basic Teaching & Res, Xining 810016, Peoples R China
[3] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 506卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Inhomogeneous Gross-Pitaevskii equation; Partial confinement; Orbital stability of standing waves; NONLINEAR SCHRODINGER-EQUATIONS; GLOBAL EXISTENCE; CHOQUARD EQUATION; SHARP THRESHOLD; BLOW-UP; NLS;
D O I：
10.1016/j.jmaa.2021.125604
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of stable standing waves for the in homogeneous Gross-Pitaevskii equation with a partial confinement. In both the L-2-sub critical and L-2-supercritical cases, we obtain the existence and stability of standing waves. Our results are complements to the results of Ardila and Dinh (2020) [2] and Luo (2019) [27], where the existence and stability of standing waves have been studied for the inhomogeneous Gross-Pitaevskii equation with the complete confinement. (C) 2021 Elsevier Inc. All rights reserved.
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页数：20
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