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Interpolation between the isoperimetric ratio and curvature for plane curves and an application to curvature flows with non-local terms
https://doi.org/10.24561/00019018
https://doi.org/10.24561/000190184ea9f903-17bd-424e-9d2e-c719bda0c239
名前 / ファイル | ライセンス | アクション |
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GD0001143.pdf (219.2 kB)
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||||||
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公開日 | 2020-07-21 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | Interpolation between the isoperimetric ratio and curvature for plane curves and an application to curvature flows with non-local terms | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | isoperimetric ratio | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | curvature | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | interpolation inequalities | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | geometric flow | |||||||||
資源タイプ | ||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_db06 | |||||||||
資源タイプ | doctoral thesis | |||||||||
ID登録 | ||||||||||
ID登録 | 10.24561/00019018 | |||||||||
ID登録タイプ | JaLC | |||||||||
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 | |||||||||
タイトル(別言語) | ||||||||||
その他のタイトル | 平面閉曲線に対する等周比を用いた補間不等式とその非局所曲率流への応用 | |||||||||
著者 |
中村, 恒平
× 中村, 恒平
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著者 所属 | ||||||||||
埼玉大学大学院理工学研究科(博士後期課程)理工学専攻 | ||||||||||
著者 所属(別言語) | ||||||||||
Graduate School of Science and Engineering, Saitama University | ||||||||||
書誌 | ||||||||||
収録物名 | 博士論文(埼玉大学大学院理工学研究科(博士後期課程)) | |||||||||
書誌情報 |
発行日 2019 |
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出版者名 | ||||||||||
出版者 | 埼玉大学大学院理工学研究科 | |||||||||
出版者名(別言語) | ||||||||||
出版者 | Graduate School of Science and Engineering, Saitama University | |||||||||
形態 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | 47 p. | |||||||||
学位授与番号 | ||||||||||
学位授与番号 | 甲第1137号 | |||||||||
学位授与年月日 | ||||||||||
学位授与年月日 | 2019-09-20 | |||||||||
学位名 | ||||||||||
学位名 | 博士(理学) | |||||||||
学位授与機関 | ||||||||||
学位授与機関識別子Scheme | kakenhi | |||||||||
学位授与機関識別子 | 12401 | |||||||||
学位授与機関名 | 埼玉大学 | |||||||||
抄録 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio. As applications, we study the large-time behavior of some geometric flows of closed plane curves without a convexity assumption. 2010 Mathematics Subject Classification: 53A04, 53C44, 35B40, 35K55 |
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注記 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | 指導教員 : 長澤壯之 | |||||||||
版 | ||||||||||
[出版社版] | ||||||||||
著者版フラグ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
資源タイプ | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | text | |||||||||
フォーマット | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | application/pdf | |||||||||
作成日 | ||||||||||
日付 | 2020-07-21 | |||||||||
日付タイプ | Created | |||||||||
アイテムID | ||||||||||
GD0001143 |