| ID | 57815 |
| フルテキストURL | |
| 著者 |
Amy Poh Ai Ling
Division of Mathematics and Physics, Graduate School of Natural Science and Technology, Okayama University
Taniguchi, Masaharu
Research Institute for Interdisciplinary Science, Okayama University
ORCID
Kaken ID
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| 抄録 | The existence and stability of the Allen–Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable.
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| キーワード | Allen–Cahn equation
stationary solution
comparison theorem
discretized
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| 備考 | Mathematics Subject Classification. Primary 34A33; Secondary 35K57.
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| 発行日 | 2020-01
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| 出版物タイトル |
Mathematical Journal of Okayama University
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| 巻 | 62巻
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| 号 | 1号
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| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
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| 開始ページ | 197
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| 終了ページ | 210
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| ISSN | 0030-1566
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| NCID | AA00723502
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| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
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| 著作権者 | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol62/iss1/5
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