Stability of ground states of nonlinear Schrodinger systems

Pub Date : 2023-11-01 DOI:10.58997/ejde.2023.76

Liliana Cely

引用次数: 0

Abstract

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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非线性薛定谔系统基态的稳定性

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

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