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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 |
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jms070207.pdf (199.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | trace theorem | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | non-smooth domain | |||||
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 |
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 | 415 | |||||
主題Scheme | NDC | |||||
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 |