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Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations
http://hdl.handle.net/2261/52413
http://hdl.handle.net/2261/52413d96d8b97-6633-48c0-a47d-b740950c7f98
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms180104.pdf (452.7 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 | Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Gevrey class | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Gevrey regularity | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | time regularity | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | solution | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | nonlinear PDE | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Tahara, Hidetoshi
× Tahara, Hidetoshi |
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| 著者所属 | ||||||
| 著者所属 | Department of Information and Communication Sciences, Sophia University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The paper considers nonlinear partial differential equations tγ(∂/∂t)mu = G(t, x, {(∂/∂t)j(∂/∂x)αu}j<m,|α|≦L) (with γ ≧ 0 and 1 ≦ m ≦ L) in Gevrey classes, and gives a sufficient condition for the following assertion to be valid: if a solution u(t, x) is in C∞ class with respect to the time variable t and in the Gevrey class E{σ} in the space variable x, then it is in the Gevrey class E{s} also with respect to the time variable for a suitable s. The index s of the time regularity is precisely estimated by the data of the equation. In a particular case, the necessity of the condition is also discussed. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 18, 号 1, p. 67-137, 発行日 2011-09-20 |
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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 | ||||||
| 35B65(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35G20(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2011-01-13 | ||||||
