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Asymptotic Behaviors of Solutions to One-dimensional Tumor Invasion Model
http://hdl.handle.net/2261/59331
http://hdl.handle.net/2261/593318926079e-1bcd-45e1-b9d1-1713aa931a9f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms220203.pdf (263.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2016-04-05 | |||||
| タイトル | ||||||
| タイトル | Asymptotic Behaviors of Solutions to One-dimensional Tumor Invasion Model | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Asymptotic behavior | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | tumor invasion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | quasi-variational inequality | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Ito, Akio
× Ito, Akio |
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| 著者所属 | ||||||
| 著者所属 | Faculty of Engineering, Kinki University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We consider a one-dimensional tumor invasion model of Chaplain–Anderson type with quasi-variational structure, which is originally proposed in [3]. One object is to show the existence of globalin- time solutions by using the limit procedure for suitable approximate solutions. The other is to consider the asymptotic behaviors of globalin- time solutions as time goes to ∞. Actually, we construct at least one global-in-time solution, which enables us to consider the convergence to a certain constant steady-state solution as time goes to ∞ whenever the initial data satisfy suitable conditions. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 2, p. 569-612, 発行日 2015-03-31 |
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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 | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 35B40(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35Q92(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35A01(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2014-07-01 | ||||||
