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.

引用

页数：22

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