{"created":"2021-03-01T06:59:30.329001+00:00","id":39950,"links":{},"metadata":{"_buckets":{"deposit":"e0f6a1d5-55a2-4d6e-a7ea-43f20c4fc812"},"_deposit":{"id":"39950","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39950"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039950","sets":["312:6865:6866:6867","9:504:6868:6869:6870"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-02-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"528","bibliographicPageStart":"499","bibliographicVolumeNumber":"23","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 existence of local unique mild solutions to the Navier-Stokes equations in the whole space with an initial tempered distribution datum in critical homogeneous or inhomogeneous Sobolev spaces is shown. Especially, the case when the integral-exponent is less than 2 is investigated. The global existence is also obtained for the initial datum in critical homogeneous Sobolev spaces with a norm small enough in suitable critical Besov spaces. The key lemma is to establish the bilinear estimates in these spaces, due to the point-wise decay of the kernel of the heat semigroup.","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":"35Q30(MSC2010)"},{"subitem_text_value":"76D05(MSC2010)"},{"subitem_text_value":"76N10(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2014-10-27"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Institute of Mathematics, Vietnam Academy of Science and Technology"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Khai, D. Q."}],"nameIdentifiers":[{"nameIdentifier":"92354","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Tri, N. M."}],"nameIdentifiers":[{"nameIdentifier":"92355","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":"jms230205.pdf","filesize":[{"value":"207.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms230205.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39950/files/jms230205.pdf"},"version_id":"929b164e-f5b2-4dca-8f31-862e43b57ac8"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Navier-Stokes equations","subitem_subject_scheme":"Other"},{"subitem_subject":"existence and uniqueness of local and global mild solutions","subitem_subject_scheme":"Other"},{"subitem_subject":"critical Sobolev and Besov spaces","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":"On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces"}]},"item_type_id":"4","owner":"1","path":["6867","6870"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-04-13"},"publish_date":"2017-04-13","publish_status":"0","recid":"39950","relation_version_is_last":true,"title":["On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:48.248821+00:00"}