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Remarks on Traces of $H^1$-functions Defined in a Domain with Corners
http://hdl.handle.net/2261/1210
http://hdl.handle.net/2261/1210b2a52147-1be4-4c64-9569-500e6b995ab0
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms070207.pdf (199.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Remarks on Traces of $H^1$-functions Defined in a Domain with Corners | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | trace theorem | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | non-smooth domain | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Saito, Norikazu
× Saito, Norikazu |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The set of traces of $H^1(Ω)$-functions on a part $γ$ of the boundary $\rdΩ$ is considered, where $Ω$ is a bounded domain in ${\Bbb R}^2$ with a certain singularity, particularly, with corners at the end points of $γ$. The aim of the present paper is to show that the set of all traces of functions in $H^1(Ω)$ is equal algebraically and topologically to the domain of a certain fractional power of minus Laplacian on $γ$ with the zero boundary condition. The result is expected to be of use for the mathematical analysis of the DDM (domain decomposition method) applied to such $Ω$. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 7, 号 2, p. 325-345, 発行日 2000 |
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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 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1768469 | ||||||
| Mathmatical Subject Classification | ||||||
| 46E35(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 46C15(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1999-05-10 | ||||||
