Strong instability of standing waves for the divergence Schrodinger equation with inhomogeneous nonlinearity

被引：0
|
作者：
Zheng, Bowen [1 ]
Zhu, Wenjing [1 ]
机构：
[1] China Jiliang Univ, Coll Sci, Hangzhou 310018, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 530卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Divergence Schrodinger equation; Inhomogeneous nonlinearity; Standing waves; Strong instability; BLOW-UP SOLUTIONS; CAUCHY-PROBLEM; EXISTENCE; STABILITY; INEQUALITIES; STATES;
D O I：
10.1016/j.jmaa.2023.127730
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers a class of Schrodinger type equations with a divergence dispersive term and inhomogeneous nonlinearity. We first establish the variational characterization of ground states by introducing a weighted Sobolev embedding theorem. Then, based on a localized variance-type estimate, we prove that the standing waves are strongly unstable using blow-up.(c) 2023 Elsevier Inc. All rights reserved.
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页数：22
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