{"created":"2021-03-01T06:59:36.970531+00:00","id":40048,"links":{},"metadata":{"_buckets":{"deposit":"417892c1-4315-4f2b-969f-f2717252b8ee"},"_deposit":{"id":"40048","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40048"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040048","sets":["312:6865:6909:6917","9:504:6868:6911:6918"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-09-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"137","bibliographicPageStart":"67","bibliographicVolumeNumber":"18","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":"The paper considers nonlinear partial differential equations tγ(∂/∂t)mu = G(t, x, {(∂/∂t)j(∂/∂x)αu}j<m,|α|≦L) (with γ ≧ 0 and 1 ≦ m ≦ L) in Gevrey classes, and gives a sufficient condition for the following assertion to be valid: if a solution u(t, x) is in C∞ class with respect to the time variable t and in the Gevrey class E{σ} in the space variable x, then it is in the Gevrey class E{s} also with respect to the time variable for a suitable s. The index s of the time regularity is precisely estimated by the data of the equation. In a particular case, the necessity of the condition is also discussed.","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":"35B65(MSC2010)"},{"subitem_text_value":"35G20(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2011-01-13"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Information and Communication Sciences, Sophia University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tahara, Hidetoshi"}],"nameIdentifiers":[{"nameIdentifier":"92499","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":"jms180104.pdf","filesize":[{"value":"452.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms180104.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40048/files/jms180104.pdf"},"version_id":"d8f2b998-7663-41dd-81ff-5fd4e5b60585"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Gevrey class","subitem_subject_scheme":"Other"},{"subitem_subject":"Gevrey regularity","subitem_subject_scheme":"Other"},{"subitem_subject":"time regularity","subitem_subject_scheme":"Other"},{"subitem_subject":"solution","subitem_subject_scheme":"Other"},{"subitem_subject":"nonlinear PDE","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":"Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations"}]},"item_type_id":"4","owner":"1","path":["6917","6918"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-22"},"publish_date":"2012-10-22","publish_status":"0","recid":"40048","relation_version_is_last":true,"title":["Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:02.121896+00:00"}