{"created":"2021-03-01T06:59:56.022973+00:00","id":40327,"links":{},"metadata":{"_buckets":{"deposit":"0875aff3-66c2-479f-bdb7-e74247e94773"},"_deposit":{"id":"40327","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40327"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040327","sets":["312:6865:7055:7061","9:504:6868:7057:7062"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1996","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"13","bibliographicPageStart":"1","bibliographicVolumeNumber":"3","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper we show that the heat flow $u(x,t)$ with a rotationally symmetric initial map $u_0(x,t)$ converges to a harmonic map as $t\\to\\infty$ if $n=1$ and $0<π$ $(θ\\in(0,π))$. Here we call $u_0:S^2 \\to S^2$ rotationally symmetric if there exists a function $h:[0,π] \\to R$ such that $h(0)=0,$ $h(π)=nπ,$ and $u(\\cosτ\\sinθ,\\sinτ\\sinθ,\\cosθ) =(\\cosτ\\sin h(θ),\\sinτ\\sin h(θ),\\cos h(θ)).$","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":"MR1414616"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"58E20(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1994-02-25"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Asai, Keisui"}],"nameIdentifiers":[{"nameIdentifier":"138924","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":"2017-06-27"}],"displaytype":"detail","filename":"jms030101.pdf","filesize":[{"value":"121.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms030101.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40327/files/jms030101.pdf"},"version_id":"d62d3302-680a-489f-92b6-9d2ea5289a25"}]},"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":"The Heat Flows of Harmonic Maps from $S^2$ to $S^2$","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Heat Flows of Harmonic Maps from $S^2$ to $S^2$"}]},"item_type_id":"4","owner":"1","path":["7061","7062"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40327","relation_version_is_last":true,"title":["The Heat Flows of Harmonic Maps from $S^2$ to $S^2$"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:38.749084+00:00"}