Morse theory for the Allen-Cahn functional

Author:

Jingwen Chen, Pedro Gaspar

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Analysis of PDEs (math.AP)

journal:

date:

2023-10-25 16:00:00

Abstract

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.

PDF: Morse theory for the Allen-Cahn functional.pdf