{"created":"2023-05-15T13:51:21.695639+00:00","id":12471,"links":{},"metadata":{"_buckets":{"deposit":"0b6a1271-5b9b-434d-96af-39fa398b5e11"},"_deposit":{"created_by":1,"id":"12471","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"12471"},"status":"published"},"_oai":{"id":"oai:chuo-u.repo.nii.ac.jp:00012471","sets":["88"]},"author_link":["23339"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-07-10","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"131","bibliographic_titles":[{"bibliographic_title":"数学科プレプリントシリーズ"},{"bibliographic_title":"PREPRINT SERIES","bibliographic_titleLang":"en"}]}]},"item_2_description_20":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_6":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The aim of this paper is to prove the global existence of solutions for the Kirchhoff equation without any smallness condition on data both in Sobolev spaces and in Gevrey ones. The approach to the construction of global solutions is to obtain absolute integrability of time-derivative of the coefficient of the principal term. The key of the proof is a uniform energy estimate in a suitable Sobolev space for global in time analytic solutions. This estimate yields the boundedness of solutions in Sobolev norm at the life span. The global existence of low regular solutions is also proved.","subitem_description_type":"Abstract"}]},"item_2_publisher_9":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"中央大学理工学部数学科"}]},"item_2_rights_16":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]},"item_2_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Matsuyama, Tokio","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23339","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":"2020-07-17"}],"displaytype":"detail","filename":"Preprint131.pdf","filesize":[{"value":"535.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"本文を見る","url":"https://chuo-u.repo.nii.ac.jp/record/12471/files/Preprint131.pdf"},"version_id":"cbe90600-4979-4ea4-ac95-fd2db6c6c3f8"}]},"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":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"Global well-posedness of the Kirchhoff equation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Global well-posedness of the Kirchhoff equation","subitem_title_language":"en"}]},"item_type_id":"2","owner":"1","path":["88"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-07-17"},"publish_date":"2020-07-17","publish_status":"0","recid":"12471","relation_version_is_last":true,"title":["Global well-posedness of the Kirchhoff equation"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T17:24:20.779406+00:00"}