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Stabilizing Effect of Diffusion and Dirichlet Boundary Conditions
http://hdl.handle.net/2261/52404
http://hdl.handle.net/2261/5240413840886-b7b0-4457-a490-7251deebf39a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms170303.pdf (103.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2012-10-22 | |||||
| タイトル | ||||||
| タイトル | Stabilizing Effect of Diffusion and Dirichlet Boundary Conditions | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Blow-up | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | reaction-diffusion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | stabilization of solutions | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
Budáč, Ondrej
× Budáč, Ondrej× Fila, Marek |
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| 著者所属 | ||||||
| 値 | Department of Applied Mathematics and Statistics, Comenius University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | It is known that diffusion together with Dirichlet boundary conditions can inhibit the occurrence of blow-up. We examine the question how strong is this stabilizing effect for reaction-diffusion equations in one space-dimension. We show that if all positive solutions of an ODE blow up in finite time then for the corresponding parabolic PDE (obtained by adding diffusion and the Dirichlet boundary condition) there is either an unbounded sequence of stationary solutions or an unbounded time-dependent solution. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 17, 号 3, p. 303-312, 発行日 2011-03-15 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| 値 | MR | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 35K57(MSC2010) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 35B35(MSC2010) | |||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 値 | 2010-09-17 | |||||
