| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898834 | Journal of Differential Equations | 2018 | 22 Pages |
Abstract
We consider the Neumann problem of a 1D stationary Allen-Cahn equation with nonlocal term. Our previous paper [4] obtained a local branch of asymmetric solutions which bifurcates from a point on the branch of odd-symmetric solutions. This paper derives the global behavior of the branch of asymmetric solutions, and moreover, determines the set of all solutions to the nonlocal Allen-Cahn equation. Our proof is based on a level set analysis for an integral map associated with the nonlocal term.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani,