{"created":"2022-10-25T07:34:34.535057+00:00","id":2005797,"links":{},"metadata":{"_buckets":{"deposit":"b2d7b035-9695-4a99-9371-5cc0115152cd"},"_deposit":{"id":"2005797","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2005797"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:02005797","sets":["312:6865:1655967292942:1666682650014","9:504:6868:1655967130305:1666682516781"]},"author_link":[],"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-10-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"582","bibliographicPageStart":"557","bibliographicVolumeNumber":"28","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":"The 2D Quasi-geostrophic equation attracts attention of mathematicians through recent years; see for example \\cite{C-V1, C-V, C-I, C-N, C-C, C-K, D-S,D-L-W, W2, K-N-V, W1}. While the sub-critical problems are rather standard (but not classical), the critical equation contains nonlinearity of the same order as the main dissipative half negative Laplace operator. Therefore we face a balance of the two terms in that case, which makes the problem interesting. We construct a weak solution of the critical problem, and associate it with a multivalued semiflow, since the solution may not be unique. A compact global attractor is shown to exist for that multivalued semiflow.","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_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":"35S15(MSC2010)"},{"subitem_text_language":"en","subitem_text_value":"35Q35(MSC2010)"},{"subitem_text_language":"en","subitem_text_value":"35B41(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2020-03-30"}]},"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 Silesia"},{"subitem_text_language":"en","subitem_text_value":"Schoolof Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"University of Silesia","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Dlotko, Tomasz","creatorNameLang":"en"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Lanzhou University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Liang, Tongtong","creatorNameLang":"en"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Lanzhou University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Wang, Yejuan","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"date":[{"dateType":"Available","dateValue":"2022-10-25"}],"displaytype":"detail","filename":"jms280401.pdf","filesize":[{"value":"209.8 KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/2005797/files/jms280401.pdf"},"version_id":"75e6434c-372d-4300-affc-5110fb75b421"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Quasi-geostrophic equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"fractional approximations","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"global attractor","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":"Dirichlet Problem for Critical 2D Quasi-Geostrophic Equation with Large Data","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Dirichlet Problem for Critical 2D Quasi-Geostrophic Equation with Large Data","subitem_title_language":"en"}]},"item_type_id":"4","owner":"1","path":["1666682650014","1666682516781"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-10-25"},"publish_date":"2022-10-25","publish_status":"0","recid":"2005797","relation_version_is_last":true,"title":["Dirichlet Problem for Critical 2D Quasi-Geostrophic Equation with Large Data"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-19T05:40:06.722918+00:00"}