{"created":"2023-07-27T06:59:58.732925+00:00","id":59744,"links":{},"metadata":{"_buckets":{"deposit":"28c2301c-9bf2-4408-8546-fa1495f6d0d9"},"_deposit":{"created_by":18,"id":"59744","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"59744"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00059744","sets":["2812:2813:2835"]},"author_link":["105335","17576"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1999-12-07","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"2p.","bibliographicVolumeNumber":"1997 – 1998","bibliographic_titles":[{"bibliographic_title":"平成10(1998)年度 科学研究費補助金 基盤研究(C) 研究成果報告書概要"},{"bibliographic_title":"1998 Fiscal Year Final Research Report Summary","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hayashida, Kazuya"}],"nameIdentifiers":[{"nameIdentifier":"17576","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"70023588","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=70023588"}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"次の浸透媒質方程式のCauchy問題の解を考える:\nUt=△U^mmR^NX(0,T),U(X,0)=U_0(X)on R^N\nただし、U≧0とする。この(弱)解の存在と一意性はよく知られている。しかしその性質については未解決の問題が多くある。\n例えば、球対称な例解としてBarenblatt解の存在が知られている。我々はBarenblatt解を手がかりとしつつ、解Uの性質について予想を立てることから始めた。Barenblatt解は次の正則性をもつ:1<m<3のとき、∂_<xi>∂_<xj>U^m∈L^2(R^NX(0,T))(i,j=1,…,N)。\n本研究ではUが球対称解で、1<m<3かつN=1,2,3のとき、U_0にある仮定をおけば、Uは上記のBarenblatt解の性質をもつことを示した。","subitem_description_type":"Abstract"},{"subitem_description":"1. Porous media equation\nWe considerd the Cauchy problem of the porous media equation. We showed that its spherically symmetric solution has the same property as Barenblatt so1ution, with respect to some regularity property.\n2. Equation of linear elastostatics (joint work with K.Wada)\nThe equation of linear elastostatics was treated in the famous book of Duvaut and Lions, where the existence and the uniqueness off solutions were shown under discontinuous boundary condition. We proved some regularity property for these solutions.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:09640169, 研究期間(年度):1997 – 1998","subitem_description_type":"Other"},{"subitem_description":"出典：研究課題「浸透媒質方程式の研究 」課題番号09640169\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所）） \n（https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-09640169/096401691998kenkyu_seika_hokoku_gaiyo/）を加工して作成","subitem_description_type":"Other"}]},"item_9_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学自然科学研究科","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00065999","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=70023588"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=70023588","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640169/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640169/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-09640169/096401691998kenkyu_seika_hokoku_gaiyo/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-09640169/096401691998kenkyu_seika_hokoku_gaiyo/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"林田, 和也"}],"nameIdentifiers":[{"nameIdentifier":"105335","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"70023588","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=70023588"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-05-13"}],"displaytype":"detail","filename":"SC-PR-HAYASHIDA-K-kaken 1999-2p.pdf","filesize":[{"value":"95.2 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-HAYASHIDA-K-kaken 1999-2p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/59744/files/SC-PR-HAYASHIDA-K-kaken 1999-2p.pdf"},"version_id":"67edde99-f13a-48f9-8147-8a857db0406c"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"浸透媒質方程式の研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"浸透媒質方程式の研究"},{"subitem_title":"Studies on the porous media equation","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2835"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-05-13"},"publish_date":"2022-05-13","publish_status":"0","recid":"59744","relation_version_is_last":true,"title":["浸透媒質方程式の研究"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-07-01T06:35:48.800049+00:00"}