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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 |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | Asymptotic behavior | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | tumor invasion | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | quasi-variational inequality | |||||
主題Scheme | Other | |||||
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 | 415 | |||||
主題Scheme | NDC | |||||
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 |