Year: 2026
Type: preprint
Abstract: We prove that, in every dimension, a bounded, non-constant entire solution of the Allen--Cahn equation whose zero set is contained in a half-space is a one-dimensional heteroclinic solution.
Source: arXiv (Cornell University)
Author: Lee, Sanghoon
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221804182