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Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space
http://hdl.handle.net/10258/00009919
http://hdl.handle.net/10258/00009919eacafbe0-5a58-49bb-a8bb-244b22f74e82
名前 / ファイル | ライセンス | アクション |
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JMAA_473_1_408_420 (488.3 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2019-06-27 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | envelope | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | family of legendre mappings | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | frontal | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | singular solution | |||||||||||
資源タイプ | ||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
資源タイプ | journal article | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
高橋, 雅朋
× 高橋, 雅朋
WEKO
21184
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室蘭工業大学研究者データベースへのリンク | ||||||||||||
高橋 雅朋(TAKAHASHI Masatomo) | ||||||||||||
http://rdsoran.muroran-it.ac.jp/html/100000191_ja.html | ||||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | 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. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Journal of Mathematical Analysis and Applications 巻 473, 号 1, p. 408-420, 発行日 2019-05-01 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Elsevier | |||||||||||
出版者版へのリンク | ||||||||||||
10.1016/j.jmaa.2018.12.057 | ||||||||||||
https://doi.org/10.1016/j.jmaa.2018.12.057 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1016/j.jmaa.2018.12.057 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 410 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0022-247X | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00252847 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © 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/ | |||||||||||
著者版フラグ | ||||||||||||
出版タイプ | AM | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf |