抄録
This paper is concerned with the global stability of a traveling curved front in the Allen-Cahn equation. The existence of such a front is recently proved by constructing supersolutions and subsolutions. In this paper, we introduce a method to construct new subsolutions and prove the asymptotic stability of traveling curved fronts globally in space.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 819-832 |
| ページ数 | 14 |
| ジャーナル | Discrete and Continuous Dynamical Systems |
| 巻 | 15 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 7月 2006 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 分析
- 離散数学と組合せ数学
- 応用数学