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Allen-Cahn泛函的Morse理论

IF 1.7 2区 数学 Q1 MATHEMATICS
Journal of Functional Analysis Pub Date : 2025-02-11 DOI:10.1016/j.jfa.2025.110876
Jingwen Chen , Pedro Gaspar
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引用次数: 0

摘要

在本文中，我们利用莫尔斯理论技术通过负梯度流构造了3球中Allen-Cahn能量泛函的低能临界子流形之间的连接。
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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Morse theory for the Allen-Cahn functional
In this article, we use Morse-theoretic techniques to construct connections between low energy critical submanifolds of the Allen-Cahn energy functional in the 3-sphere via the negative gradient flow.
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来源期刊
Journal of Functional Analysis
Journal of Functional Analysis 数学-数学
CiteScore
3.20
自引率
5.90%
发文量
271
审稿时长
7.5 months
期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis
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