{"created":"2021-03-01T06:58:47.930879+00:00","id":39326,"links":{},"metadata":{"_buckets":{"deposit":"b8cf05d5-29a8-4296-a4b4-3de073c4b9e0"},"_deposit":{"id":"39326","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39326"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039326","sets":["312:6589:6590:6591","9:504:6592:6593:6594"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1993","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"650","bibliographicPageStart":"635","bibliographicVolumeNumber":"40","bibliographic_titles":[{"bibliographic_title":"Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = 東京大学理学部紀要. 第1類A, 数学"}]}]},"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":"We show that for many regions of product type $D=D_1 \\times D_2$ the critical exponent of blowup for the Dirichlet mixed problem of the semilinear heat equation ${\\partial}_t u= \\Delta u +u^p$ is determined from those of the factors by the formula $1/(p^* (D) -1)=1/(p^* (D_1)-1)+1/(p^* (D_2)-1)$. As an application we obtain a formula for the first Dirichlet eigenvalue of the  Laplace-Beltrami operator on spherical slice domains.","subitem_description_type":"Abstract"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00039317","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Faculty of Science, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00697967","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00408980","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_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR1269031 (95d:35078)"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35K55(MSC1991)"},{"subitem_text_value":"35B35(MSC1991)"},{"subitem_text_value":"35K37(MSC1991)"},{"subitem_text_value":"35K60(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1993-05-28"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ohta, Shigemasa"}],"nameIdentifiers":[{"nameIdentifier":"137979","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Kaneko, Akira"}],"nameIdentifiers":[{"nameIdentifier":"137980","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":"jfs400305.pdf","filesize":[{"value":"2.2 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jfs400305.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39326/files/jfs400305.pdf"},"version_id":"98c9f21f-88c2-4438-9ddb-671cf1691334"}]},"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":"Critical exponent of blowup for semilinear heat equation on a product domain","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Critical exponent of blowup for semilinear heat equation on a product domain"}]},"item_type_id":"4","owner":"1","path":["6591","6594"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-13"},"publish_date":"2008-03-13","publish_status":"0","recid":"39326","relation_version_is_last":true,"title":["Critical exponent of blowup for semilinear heat equation on a product domain"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:15.972657+00:00"}