{"created":"2024-04-15T06:55:36.085388+00:00","id":2000210,"links":{},"metadata":{"_buckets":{"deposit":"2098e466-c54a-480b-9af4-dcede130d891"},"_deposit":{"created_by":17,"id":"2000210","owner":"17","owners":[17],"pid":{"revision_id":0,"type":"depid","value":"2000210"},"status":"published"},"_oai":{"id":"oai:kochi.repo.nii.ac.jp:02000210","sets":["103:105"]},"author_link":[],"control_number":"2000210","item_11_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-11-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageStart":"125297","bibliographicVolumeNumber":"503","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Analysis and Applications","bibliographic_titleLang":"en"}]}]},"item_11_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The initial value problem for a fifth-order nonlinear dispersive partial differential equation describing the curve flow on the sphere is considered. A typical example of the equation arises in a hierarchy of completely integrable systems containing one-dimensional classical Heisenberg ferromagnetic spin model. This paper establishes the local existence and uniqueness of a solution to the initial value problem under the periodic boundary condition. The proof is based on the energy method combined with a kind of gauge transformation to overcome the difficulty of a loss of derivative.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_11_publisher_31":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_11_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.jmaa.2021.125297","subitem_relation_type_select":"DOI"}}]},"item_11_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2021 Elsevier Inc. All rights reserved.","subitem_rights_language":"en"}]},"item_11_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-247X","subitem_source_identifier_type":"PISSN"}]},"item_11_version_type_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"小野寺, 栄治","creatorNameLang":"ja"}]},{"creatorNames":[{"creatorName":"山﨑, 遥","creatorNameLang":"ja"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2024-04-19"}],"filename":"JMMA_503-1-125297.pdf","filesize":[{"value":"168 KB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"url":"https://kochi.repo.nii.ac.jp/record/2000210/files/JMMA_503-1-125297.pdf"},"version_id":"d7eba772-3ccc-448d-8f8c-1d1d846072d5"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"nonlinear dispersive partial differential equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"local existence and uniqueness","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"loss of derivative","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"energy method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"gauge transformation","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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A fifth-order dispersive partial differential equation for curve flow on the sphere","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A fifth-order dispersive partial differential equation for curve flow on the sphere","subitem_title_language":"en"}]},"item_type_id":"11","owner":"17","path":["105"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2024-04-19"},"publish_date":"2024-04-19","publish_status":"0","recid":"2000210","relation_version_is_last":true,"title":["A fifth-order dispersive partial differential equation for curve flow on the sphere"],"weko_creator_id":"17","weko_shared_id":-1},"updated":"2024-04-23T00:34:49.767434+00:00"}