{"created":"2021-03-01T06:05:53.097239+00:00","id":2188,"links":{},"metadata":{"_buckets":{"deposit":"2e1ce631-3ba6-4ce5-bea8-c25ef2f03b5c"},"_deposit":{"id":"2188","owners":[],"pid":{"revision_id":0,"type":"depid","value":"2188"},"status":"published"},"_oai":{"id":"oai:niigata-u.repo.nii.ac.jp:00002188","sets":["176:488:489","453:454"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2000","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"135","bibliographicPageStart":"103","bibliographicVolumeNumber":"11","bibliographic_titles":[{"bibliographic_title":"Nihonkai Mathematical Journal"},{"bibliographic_title":"Nihonkai Mathematical Journal","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In exterior domains of R^3, we consider the differential operator △+(k×x)・▽ with Dirichlet boundary condition, where k stands for the angular velocity of a rotating obstacle. We show, among others, a certain smoothing property together with estimates near t=0 of the generated semigroup (it is not an analytic one) in the space L^2. The result is not trivial because the coefficient k×x is unbounded at infinity. The proof is mainly based on a cut-off technique. The equation ∂_=△u+(k×x)・▽u can be taken as a model problem for a linearized form of the Navier-Stokes equations in a domain exterior to a rotating obstacle. This paper is a step toward an analysis of the Navier-Stokes flow in such a domain.","subitem_description_type":"Abstract"}]},"item_5_publisher_7":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"新潟大学"}]},"item_5_select_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_5_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10800960","subitem_source_identifier_type":"NCID"}]},"item_5_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13419951","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hishida, Toshiaki"}],"nameIdentifiers":[{"nameIdentifier":"7418","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":"2019-07-29"}],"displaytype":"detail","filename":"5_0008.pdf","filesize":[{"value":"3.9 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"5_0008.pdf","url":"https://niigata-u.repo.nii.ac.jp/record/2188/files/5_0008.pdf"},"version_id":"71722f3f-5a3a-4db5-b742-27ec2851660f"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"L² theory for the operator Δ+(κ×χ)・∇ in exterior domains","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"L² theory for the operator Δ+(κ×χ)・∇ in exterior domains"},{"subitem_title":"L² theory for the operator Δ+(κ×χ)・∇ in exterior domains","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["454","489"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-04-08"},"publish_date":"2008-04-08","publish_status":"0","recid":"2188","relation_version_is_last":true,"title":["L² theory for the operator Δ+(κ×χ)・∇ in exterior domains"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-15T03:34:59.805305+00:00"}