非线性薛定谔系统基态的稳定性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-11-01 DOI:10.58997/ejde.2023.76

Liliana Cely

引用次数: 0

摘要

本文研究了具有对数非线性的两个耦合非线性薛定谔方程系统基态的存在性和稳定性。此外，在\(H^{1}(\mathbb{R})\times H^{1}(\mathbb{R})\)和适当的Orlicz空间中验证了Cauchy问题的全局适定性。＆＃x0D;欲了解更多信息，请参阅https://ejde.math.txstate.edu/Volumes/2023/76/abstr.html

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of ground states of nonlinear Schrodinger systems

In this article, we study existence and stability of ground states for a system of two coupled nonlinear Schrodinger equations with logarithmic nonlinearity. Moreover, global well-posedness is verified for the Cauchy problem in \(H^{1}(\mathbb{R})\times H^{1}(\mathbb{R})\) and in an appropriate Orlicz space. For more information see https://ejde.math.txstate.edu/Volumes/2023/76/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.