{"created":"2021-09-17T07:42:47.112341+00:00","id":2001395,"links":{},"metadata":{"_buckets":{"deposit":"4ad150d4-bcb1-41df-8434-5dc64c234765"},"_deposit":{"id":"2001395","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2001395"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:02001395","sets":["312:6865:6987:6991","9:504:6868:6989:6992"]},"author_link":[],"control_number":"2001395","item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2003","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"494","bibliographicPageStart":"455","bibliographicVolumeNumber":"10","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo","bibliographic_titleLang":"en"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This paper is devoted to the analytic semigroup approach to semilinear parabolic initial boundary value problems arising in combustion theory which obey a general Arrhenius equation and Newtonian cooling. We prove a global existence and uniqueness theorem of positive solutions by using the theory of analytic semigroups in the topology of uniform convergence. Moreover, we study the asymptotic stability of maximal and minimal positive solutions when there are multiple steady-state solutions.","subitem_description_language":"en","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","subitem_publisher_language":"en"}]},"item_4_relation_25":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_type":"hasVersion","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://hdl.handle.net/2241/00163029","subitem_relation_type_select":"URI"}}]},"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_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"35K60(MSC1991)"},{"subitem_text_language":"en","subitem_text_value":"80A25(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2002-07-14"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Institute of Mathematics, University of Tsukuba"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"University of Tsukuba","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Taira, Kazuaki","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-09-17"}],"displaytype":"detail","filename":"jms100301.pdf","filesize":[{"value":"246.7KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/2001395/files/jms100301.pdf"},"version_id":"afa68b0a-9fe4-44b8-88cb-68793fc5dbe7"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Semilinear parabolic boundary value problem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Arrhenius equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Newtonian cooling","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"thermal explosion","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"analytic semigroup","subitem_subject_language":"en","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":"Semilinear Parabolic Boundary Value Problems in Combustion Theory","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Semilinear Parabolic Boundary Value Problems in Combustion Theory","subitem_title_language":"en"}]},"item_type_id":"4","owner":"1","path":["6991","6992"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-09-17"},"publish_date":"2021-09-17","publish_status":"0","recid":"2001395","relation_version_is_last":true,"title":["Semilinear Parabolic Boundary Value Problems in Combustion Theory"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-19T05:39:13.828316+00:00"}