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
publons
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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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