{"created":"2021-03-01T07:00:42.738862+00:00","id":41011,"links":{},"metadata":{"_buckets":{"deposit":"c07babde-8313-4ed7-8f8a-c9e30d808251"},"_deposit":{"id":"41011","owners":[],"pid":{"revision_id":0,"type":"depid","value":"41011"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00041011","sets":["312:7290:7304","9:504:7292:7305"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1986","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"89","bibliographicPageStart":"81","bibliographicVolumeNumber":"36","bibliographic_titles":[{"bibliographic_title":"Scientific papers of the College of Arts and Sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Abstract"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00041002","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10538733","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"02897520","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Information-Mathematics, University of Electro-Communications|Department of Mathematics, College of Arts and Sciences, University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kaizu, Satoshi"}],"nameIdentifiers":[{"nameIdentifier":"139887","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Kikuchi, Fumio"}],"nameIdentifiers":[{"nameIdentifier":"139888","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"scp036005.pdf","filesize":[{"value":"628.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"scp036005.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/41011/files/scp036005.pdf"},"version_id":"6626a62f-45aa-478b-adb3-4880b4422927"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"imbedding theorem","subitem_subject_scheme":"Other"},{"subitem_subject":"Hilbert space","subitem_subject_scheme":"Other"},{"subitem_subject":"electromagnetics","subitem_subject_scheme":"Other"},{"subitem_subject":"convex domain","subitem_subject_scheme":"Other"},{"subitem_subject":"mixed formulation","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"An Imbedding Theorem for a Hilbert Space Appearing in Electromagnetics","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"An Imbedding Theorem for a Hilbert Space Appearing in Electromagnetics"}]},"item_type_id":"4","owner":"1","path":["7304","7305"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-11-19"},"publish_date":"2008-11-19","publish_status":"0","recid":"41011","relation_version_is_last":true,"title":["An Imbedding Theorem for a Hilbert Space Appearing in Electromagnetics"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:16:32.500071+00:00"}