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An Imbedding Theorem for a Hilbert Space Appearing in Electromagnetics
https://doi.org/10.15083/00041002
https://doi.org/10.15083/00041002a20b5fe9-6b8e-48f4-9377-102fa9d675c8
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
scp036005.pdf (628.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-11-19 | |||||
| タイトル | ||||||
| タイトル | An Imbedding Theorem for a Hilbert Space Appearing in Electromagnetics | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | imbedding theorem | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Hilbert space | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | electromagnetics | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | convex domain | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | mixed formulation | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| ID登録 | ||||||
| ID登録 | 10.15083/00041002 | |||||
| ID登録タイプ | JaLC | |||||
| 著者 |
Kaizu, Satoshi
× Kaizu, Satoshi× Kikuchi, Fumio |
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| 著者所属 | ||||||
| 著者所属 | Department of Information-Mathematics, University of Electro-Communications|Department of Mathematics, College of Arts and Sciences, University of Tokyo | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let Ω be a bounded domain in R$F^3$ with a Lipschitz continuous boundary αΩ. In electromagnetics, we consider a Hilbert space of vector-valued functions which, along with their rotations and divergences, are square summable in Ω and whose normal components on αΩ vanish. We will show that this space is continuously imbedded to {H$F^1$(Ω)}$F^3$ when Ω is convex, where H$F^1$(Ω) is the usual first order Sobolev space. In addition, we will derive an inequality for functions in this Hilbert space. To these aims, we adopt the techniques of Kadlec-Grisvard and the mixed formulation. | |||||
| 書誌情報 |
Scientific papers of the College of Arts and Sciences, the University of Tokyo 巻 36, p. 81-89, 発行日 1986 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 02897520 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA10538733 | |||||
| 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 | 410 | |||||
| 出版者 | ||||||
| 出版者 | The University of Tokyo | |||||
