{"created":"2021-03-01T06:59:37.451236+00:00","id":40055,"links":{},"metadata":{"_buckets":{"deposit":"2dc6f9ee-41fb-4cc1-a171-27809b55f2ff"},"_deposit":{"id":"40055","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40055"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040055","sets":["312:6865:6919:6923","9:504:6868:6921:6924"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-03-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"312","bibliographicPageStart":"303","bibliographicVolumeNumber":"17","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"It is known that diffusion together with Dirichlet boundary conditions can inhibit the occurrence of blow-up. We examine the question how strong is this stabilizing effect for reaction-diffusion equations in one space-dimension. We show that if all positive solutions of an ODE blow up in finite time then for the corresponding parabolic PDE (obtained by adding diffusion and the Dirichlet boundary condition) there is either an unbounded sequence of stationary solutions or an unbounded time-dependent solution.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35K57(MSC2010)"},{"subitem_text_value":"35B35(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2010-09-17"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Applied Mathematics and Statistics, Comenius University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Budáč, Ondrej"}],"nameIdentifiers":[{"nameIdentifier":"92507","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Fila, Marek"}],"nameIdentifiers":[{"nameIdentifier":"92508","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":"2017-06-14"}],"displaytype":"detail","filename":"jms170303.pdf","filesize":[{"value":"103.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms170303.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40055/files/jms170303.pdf"},"version_id":"fce2ea62-b312-47ed-bd5f-ca1b1cab083c"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Blow-up","subitem_subject_scheme":"Other"},{"subitem_subject":"reaction-diffusion","subitem_subject_scheme":"Other"},{"subitem_subject":"stabilization of solutions","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":"Stabilizing Effect of Diffusion and Dirichlet Boundary Conditions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Stabilizing Effect of Diffusion and Dirichlet Boundary Conditions"}]},"item_type_id":"4","owner":"1","path":["6923","6924"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-22"},"publish_date":"2012-10-22","publish_status":"0","recid":"40055","relation_version_is_last":true,"title":["Stabilizing Effect of Diffusion and Dirichlet Boundary Conditions"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:59.157990+00:00"}