{"created":"2023-05-15T15:29:11.356670+00:00","id":18760,"links":{},"metadata":{"_buckets":{"deposit":"647809a9-9dde-4d65-b3b5-ab74893a32bb"},"_deposit":{"created_by":3,"id":"18760","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"18760"},"status":"published"},"_oai":{"id":"oai:sucra.repo.nii.ac.jp:00018760","sets":["84:291:944"]},"author_link":["16424"],"item_120_alternative_title_1":{"attribute_name":"タイトル（別言語）","attribute_value_mlt":[{"subitem_alternative_title":"２階楕円型作用素のスペクトルと有用な積分不等式"}]},"item_120_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"505","bibliographicPageStart":"495","bibliographicVolumeNumber":"68","bibliographic_titles":[{"bibliographic_title":"埼玉大学紀要. 教育学部"},{"bibliographic_title":"Journal of Saitama University. Faculty of Education","bibliographic_titleLang":"en"}]}]},"item_120_date_31":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2019-10-01","subitem_date_issued_type":"Created"}]},"item_120_description_19":{"attribute_name":"概要","attribute_value_mlt":[{"subitem_description":"We consider the second order elliptic equation A(x, ∂)u(x)+q(x)u(x)=f(x), and also consider the integral inequality that provides us with a lower bound estimate of the associated quadratic form. In so doing, we need to introduce newly a positive continuous function λ(x) on the region in question. This type of estimate is quite very useful if we apply the result to the elliptic equation to obtain estimates of eigenfunctions for the equation. The principal purpose of this article is to settle down the positive continuous function λ(x) in a concrete manner. It suffices to involve the spectra of operator and the compactness argument in functional spaces, in order to realize the above-mentioned program.","subitem_description_type":"Other"}]},"item_120_description_29":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_120_description_30":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_120_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24561/00018729","subitem_identifier_reg_type":"JaLC"}]},"item_120_publisher_11":{"attribute_name":"出版者名","attribute_value_mlt":[{"subitem_publisher":"埼玉大学教育学部"}]},"item_120_publisher_12":{"attribute_name":"出版者名（別言語）","attribute_value_mlt":[{"subitem_publisher":"Faculty of Education, Saitama University"}]},"item_120_source_id_14":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"18815146","subitem_source_identifier_type":"ISSN"}]},"item_120_text_27":{"attribute_name":"版","attribute_value_mlt":[{"subitem_text_value":"[出版社版]"}]},"item_120_text_3":{"attribute_name":"著者 ローマ字","attribute_value_mlt":[{"subitem_text_value":"DÔKU, Isamu"}]},"item_120_text_32":{"attribute_name":"アイテムID","attribute_value_mlt":[{"subitem_text_value":"KY-AA12318206-6802-33"}]},"item_120_text_4":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"Faculty of Education, Saitama University"}]},"item_120_text_9":{"attribute_name":"年月次","attribute_value_mlt":[{"subitem_text_value":"2019"}]},"item_120_version_type_28":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"道工, 勇"},{"creatorName":"ドウク, イサム","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-10-01"}],"displaytype":"detail","filename":"KY-AA12318206-6802-33.pdf","filesize":[{"value":"1.3 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"KY-AA12318206-6802-33.pdf","url":"https://sucra.repo.nii.ac.jp/record/18760/files/KY-AA12318206-6802-33.pdf"},"version_id":"f8041db2-adcc-41f5-8b2b-2b8c16412e35"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"spectra","subitem_subject_scheme":"Other"},{"subitem_subject":"second order elliptic operator","subitem_subject_scheme":"Other"},{"subitem_subject":"elliptic equation","subitem_subject_scheme":"Other"},{"subitem_subject":"integral inequality","subitem_subject_scheme":"Other"},{"subitem_subject":"compactness argument","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":"The Spectrum of Second Order Elliptic Operator and Useful Integral Inequality<数学・自然科学>","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Spectrum of Second Order Elliptic Operator and Useful Integral Inequality<数学・自然科学>"}]},"item_type_id":"120","owner":"3","path":["944"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-10-01"},"publish_date":"2019-10-01","publish_status":"0","recid":"18760","relation_version_is_last":true,"title":["The Spectrum of Second Order Elliptic Operator and Useful Integral Inequality<数学・自然科学>"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-05-15T16:47:04.455110+00:00"}