{"_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": ["1666682650014", "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", "download_preview_message": "", "file_order": 0, "filename": "jms280401.pdf", "filesize": [{"value": "209.8 KB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 209800.0, "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"], "permalink_uri": "http://hdl.handle.net/2261/0002005797", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2022-10-25"}, "publish_date": "2022-10-25", "publish_status": "0", "recid": "2005797", "relation": {}, "relation_version_is_last": true, "title": ["Dirichlet Problem for Critical 2D Quasi-Geostrophic Equation with Large Data"], "weko_shared_id": -1}
Dirichlet Problem for Critical 2D Quasi-Geostrophic Equation with Large Data
http://hdl.handle.net/2261/0002005797
http://hdl.handle.net/2261/0002005797