{"created":"2021-03-01T06:59:42.745569+00:00","id":40132,"links":{},"metadata":{"_buckets":{"deposit":"fdfec24e-1d12-4605-89e6-016e984f3d3d"},"_deposit":{"id":"40132","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40132"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040132","sets":["312:6865:6967:6971","9:504:6868:6969:6972"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2005-11-17","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"492","bibliographicPageStart":"467","bibliographicVolumeNumber":"12","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":"We establish a stochastic representation formula for solutions to fully nonlinear second-order partial differential equations of parabolic type. For this purpose, we introduce forward-backward stochastic differential equations with random coefficients. We next apply them to homogenization of fully nonlinear parabolic equations. As a byproduct, we obtain an estimate concerning the convergence rate of solutions. The results partially generalize homogenization of Hamilton-Jacobi-Bellman equations studied by R. Buckdahn and the author.","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_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"60H30(MSC2000)"},{"subitem_text_value":"35B27(MSC2000)"},{"subitem_text_value":"93E20(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2005-04-28"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ichihara, Naoyuki"}],"nameIdentifiers":[{"nameIdentifier":"138714","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":"jms120306.pdf","filesize":[{"value":"217.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms120306.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40132/files/jms120306.pdf"},"version_id":"efa6eff6-61c3-4fca-b570-3d925e2a353f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Fully nonlinear parabolic equations","subitem_subject_scheme":"Other"},{"subitem_subject":"Hamilton-Jacobi-Bellman equations","subitem_subject_scheme":"Other"},{"subitem_subject":"backward stochastic differential equations","subitem_subject_scheme":"Other"},{"subitem_subject":"nonlinear Feynman-Kac formula","subitem_subject_scheme":"Other"},{"subitem_subject":"homogenization","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":"A Stochastic Representation for Fully Nonlinear PDEs and Its Application to Homogenization","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Stochastic Representation for Fully Nonlinear PDEs and Its Application to Homogenization"}]},"item_type_id":"4","owner":"1","path":["6971","6972"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40132","relation_version_is_last":true,"title":["A Stochastic Representation for Fully Nonlinear PDEs and Its Application to Homogenization"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:12.039471+00:00"}