{"created":"2023-06-19T10:29:53.945731+00:00","id":9971,"links":{},"metadata":{"_buckets":{"deposit":"a359a19d-3f06-4d1a-a88e-c24e09d5dd48"},"_deposit":{"created_by":18,"id":"9971","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"9971"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00009971","sets":["216:319","46"]},"author_link":["21184"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-05-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"420","bibliographicPageStart":"408","bibliographicVolumeNumber":"473","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Analysis and Applications","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For families of hypersurfaces with singular points, a classical definition of an envelope is vague. In order to define an envelope for a family of hypersurfaces with singular points, we consider r-parameter families of frontals and of Legendre mappings in the unit tangent bundle over the Euclidean space. We define an envelope for the r-parameter family of Legendre mappings. Then the envelope is also a frontal. We investigate properties of the envelopes. As an application, we give a condition that the projection of a singular solution of a first order partial differential equation is an envelope.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1016/j.jmaa.2018.12.057","subitem_link_url":"https://doi.org/10.1016/j.jmaa.2018.12.057"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"高橋 雅朋（TAKAHASHI Masatomo）","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000191_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.jmaa.2018.12.057","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-247X","subitem_source_identifier_type":"PISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00252847","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_79_version_type_21":{"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":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{}],"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"TAKAHASHI,  Masatomo","creatorNameLang":"en"},{"creatorName":"高橋, 雅朋","creatorNameLang":"ja"},{"creatorName":"タカハシ, マサトモ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-05-01"}],"displaytype":"detail","filename":"JMAA_473_1_408_420.pdf","filesize":[{"value":"488.3 kB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"label":"JMAA_473_1_408_420","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/9971/files/JMAA_473_1_408_420.pdf"},"version_id":"2f6aa7e0-5ddb-4c29-9c10-80250edfcd85"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"envelope","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"family of legendre mappings","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"frontal","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"singular solution","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":"Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2019-06-27"},"publish_date":"2019-06-27","publish_status":"0","recid":"9971","relation_version_is_last":true,"title":["Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-10-24T01:43:50.960501+00:00"}