Nagai Atsushi 永井敦

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NAGAI Atsushi 永井敦

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Researcher Number	90304039
Other IDs
External Links
Affiliation (Current)	2025: 津田塾大学, 学芸学部, 教授
Affiliation (based on the past Project Information) *help	2017 – 2023: 津田塾大学, 学芸学部, 教授 2013 – 2016: 日本大学, 生産工学部, 教授 2008 – 2012: Nihon University, 生産工学部, 准教授 2006: 日本大学, 学生産工学部, 講師 2004 – 2006: 日本大学, 生産工学部, 講師 … More 2003: Nihon University, College of Industrial Technology, Lecturer, 基礎工学研究科, 助手 1999 – 2003: 大阪大学, 大学院・基礎工学研究科, 助手 2001: Osaka University, Graduate School of Engineering Science, Research Assistant, 基礎工学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator Algebra / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator グリーン関数 / 離散 / ソボレフ不等式 / 最良定数 / 離散ソボレフ不等式 / 離散化 / 離散ラプラシアン / 一般化逆行列 / グリーン行列 / グラフ理論 … More / 境界値問題 / 再生核 / 筋交い問題 / 筋交問題 / フラーレン / C60 / 正多面体 / ミッタークレフラー関数 / 非整数階微分 / 保存量 / 箱玉系 / ソリトン / カオス / 差分方程式 / C60フラーレン / 離散ラプラシアン行列 / RI chain / inverse ultradiscretization / Green function / MIttag-Leffler function / fractional derivative / discrete, ultradiscrete / integrable system / box and ball systems / パフィアン / 4階微分方程式 / ソリトンセルオートマトン / クリスタル / 超離散 / 可解格子模型 / 非整数階微分、差分 / q差分 / RI格子 / 逆超離散化 / 離散、超離散 / 可積分系 / 多面体 / 完全2部グラフ / グラフ / 超幾何関数 / ベルヌーイ多項式 / 楕円θ関数 / 熱作用素 / 応用数学 / ピューズー展開法 / 非整数階差分 / ミッターク・レフラー関数 / 特殊関数 / 高階微分法的式 / 戸田分子方程式 / ソーティングアルゴリズム / 超離散極限 / 数列の加速法 / 超離散化 … More Except Principal Investigator ソボレフ不等式 / 再生核 / グリーン関数 / 可積分系 / 最良定数 / グリーン行列 / Lotka-Volterra equation / orthogonal polynomial / 行列式 / ソリトン / 行列式の恒等式 / 直交多項式 / integrable system / 量子群 / Ordinary differential equation / Best constant / Sobolev inequality / Reproducing kernel / Green function / 常微分方程式 / molecule solution / bi-orthogonal polynomial / identity of determinant / discrete system / soliton / 半無限格子解 / 半無限行列式解 / Lotka-Volterra方程式 / 双直交多項式 / 離散系 / Cell automaton / Yang-Baxter equation / Quantum group / Integrable system / セルオートマトン / ヤン・バクスター方程式 / continued fractions / identity of determinants / eigen-value problem / algorithm / Toda equation / discrete integrable system / Volterra方程式 / 有理多項式 / 離散化 / ロトカ・ボルテラ方程式 / 固有値計算 / アルゴリズム / ロトカ・ポルテラ方程式 / 戸田方程式 / 連分数展開 / 離散可積分系 / quantum group / Affine Lie algebra / アフィンリー環 / 微分方程式 / 非整数階 / Conley指数 / 重調和 / 棒のたわみ問題 / 重調和作用素 / 4階微分方程式 / ミッターク・レフラー関数 / ポアッソン関数 / 分岐解析 / 境界値問題 / ピューズー展開法 / ミッタークレフラー関数 / 非整数階微分 / パンルベ方程式 / 対称性 / 差分方程式 Less

Best evaluation of Sobolev inequality using reproducing kernel and study of its application to science and engineering
- Principal Investigator
  
  武村一雄
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Nihon University
Mathematics and applications of discrete Sobolev inequalitiesPrincipal Investigator
- Principal Investigator
  
  永井敦
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Tsuda University
New developments in the research of discrete Sobolev inequalities - Applications to mathematical engineeringPrincipal Investigator
- Principal Investigator
  
  Nagai Atsushi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Tsuda University
Discretization of Sobolev inequalities and its engineering applicationsPrincipal Investigator
- Principal Investigator
  
  Nagai Atsushi
- Project Period (FY)
  2013 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tsuda University
  Nihon University
Best evaluation of the Sobolev inequality using the reproducing kernel theory and its applications
- Principal Investigator
  
  TAKEMURA Kazuo
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Nihon University
Best evaluation of Sobolev inequality based on the perspective of special function theory
- Principal Investigator
  
  TAKEMURA Kazuo
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University
The Best Constant of Sobolev Inequalities-from continuous to discretePrincipal Investigator
- Principal Investigator
  
  NAGAI Atsushi
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University
Study of Green function of higher order / fractional order differential equations from a viewpoint of a reproducing kernel theory
- Principal Investigator
  
  TAKEMURA Kazuo
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo University of Technology
可積分系の視点に基づく非整数階微分・差分方程式の研究Principal Investigator
- Principal Investigator
  
  永井敦
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Nihon University
Application of the discrete integrable systems on the semi-infinite lattice to the system of the bi-orthogonal polynomials
- Principal Investigator
  
  TSUJIMOTO Satoshi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
ミッターク・レフラー関数の非整数階微分・差分方程式への応用
- Principal Investigator
  
  OGAWA Toshiyuki, KAMETAKA Yoshinori
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Combinatorial Study of Crystal Bases and its Application to Discrete Integrable Systems
- Principal Investigator
  
  OKADO Masato
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OSAKA UNIVERSITY
Research on algebraic structures of ultradiscrete soliton equations and applications to engineeringPrincipal Investigator
- Principal Investigator
  
  NAGAI Atsushi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Studies on the orthogonal polynomials, the continued fractions and the discrete integrable systems
- Principal Investigator
  
  TSUJIMOTO Satoshi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
  Osaka University
離散ソリトン方程式の数理工学への応用Principal Investigator
- Principal Investigator
  
  永井敦
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
差分方程式の対称性と可積分性
- Principal Investigator
  
  薩摩順吉
- Project Period (FY)
  1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Affine Lie algebra characters and Bethe Ansatz
- Principal Investigator
  
  OKADO Masato
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University

[Book] グリーン関数2022
- Author(s)
  亀高惟倫、永井敦、山岸弘幸
- Total Pages
  200
- Publisher
  裳華房
- ISBN
  9784785315979
- Data Source
  KAKENHI-PROJECT-22K03360
[Book] グリーン関数2022
- Author(s)
  亀高惟倫、永井敦、山岸弘幸
- Total Pages
  200
- Publisher
  裳華房
- ISBN
  9784785315979
- Data Source
  KAKENHI-PROJECT-18K03347
[Journal Article] The best constant of discrete Sobolev inequalities corresponding to braced grids2023
- Author(s)
  Atsushi Nagai, Akari Kano, Maho Kikuchi and Rikako Uehara
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B91 Pages: 37-44
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03360
[Journal Article] Positivity and Hierarchical Structure of four Green Functions Corresponding to a Bending Problem of a Beam on a half line2023
- Author(s)
  Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai, Kazuo Takemura and Hiroyuki Yamagishi
- Journal Title
  
  Mathematical Journal of Okayama University
  
  Volume: 65 Issue: 1 Pages: 145-173
- DOI
  10.18926/mjou/64006
- URL
  https://ousar.lib.okayama-u.ac.jp/64006
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03347, KAKENHI-PROJECT-22K03360
[Journal Article] The best constant of discrete Sobolev inequalities corresponding to braced grids : deformability and rigidity2023
- Author(s)
  Atsushi Nagai, Akari Kano, Maho Kikuchi and Rikako Uehara
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B91 Pages: 37-44
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03347
[Journal Article] The best constant of discrete sobolev inequality corresponding to a discrete bending problem of a string2022
- Author(s)
  Hiroyuki Yamagishi and Atsushi Nagai
- Journal Title
  
  Saitama Mathematical Journal
  
  Volume: 34
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03347
[Journal Article] The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers2020
- Author(s)
  Kametaka Yoshinori、Watanabe Kohtaro、Nagai Atsushi、Takemura Kazuo、Yamagishi Hiroyuki、Sekido Hiroto
- Journal Title
  
  JSIAM Letters
  
  Volume: 12 Issue: 0 Pages: 49-52
- DOI
  10.14495/jsiaml.12.49
- NAID
  130007881802
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05374, KAKENHI-PROJECT-18K03347, KAKENHI-PROJECT-18K03387
[Journal Article] A Hierarchical Structure for the Sharp Constants of Discrete Sobolev Inequalities on a Weighted Complete Graph2017
- Author(s)
  Kazuo Takemura, Yoshinori Kametaka and Atsushi Nagai
- Journal Title
  
  Symmetry
  
  Volume: 2017 Issue: 1 Pages: 1-1
- DOI
  10.3390/sym10010001
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-17K05374
[Journal Article] Two types of discrete Sobolev inequalities on a weighted Toeplitz graph2016
- Author(s)
  Kazuo Takemura, Atsushi Nagai, Yoshinori Kametaka
- Journal Title
  
  Linear Algebra and its Applicatoins
  
  Volume: 507 Pages: 344-355
- DOI
  10.1016/j.laa.2016.06.029
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400210, KAKENHI-PROJECT-25400146
[Journal Article] 切頂正4,6,8面体上の離散ソボレフ不等式の最良定数2015
- Author(s)
  亀高惟倫，山岸弘幸，永井敦，渡辺宏太郎，武村一雄
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 25
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400146
[Journal Article] Sobolev inequality of free boundary value problem for (-1)M(d/dx)(2M)2015
- Author(s)
  K. Takemura, A. Nagai, Y. Kametaka, K. Watanabe, H. Yamagishi
- Journal Title
  
  J. of Inequality and Appl.
  
  Volume: 2015 Issue: 1 Pages: 1-20
- DOI
  10.1186/s13660-015-0568-9
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540199, KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-25400210
[Journal Article] The Best Cosntant of Discrete Sobolev Inequality on the C60 Fullerene Buckyball2015
- Author(s)
  Y. Kametaka, A. Nagai, H. Yamagishi, K. Takemura and K. Watanabe
- Journal Title
  
  Journal of Physical Society of Japan
  
  Volume: 84 Issue: 7 Pages: 074004-074004
- DOI
  10.7566/jpsj.84.074004
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-25400210
[Journal Article] 切頂正４，６，８面体上の離散ソボレフ不等式の最良定数2015
- Author(s)
  亀高惟倫，山岸弘幸，永井敦，渡辺宏太郎，武村一雄
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 25 Pages: 135-150
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400210
[Journal Article] The Best Constant of Three Kinds of Discrete Sobolev Inequalities on Regular Polyhedron2013
- Author(s)
  Hiroyuki Yamagishi, Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai and Kazuo Takemura
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: Volume 36, No. 1 Pages: 253-268
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400210
[Journal Article] Complete low-cut filter and the best constant of Sobolev inequality2013
- Author(s)
  H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe and K. Takemura
- Journal Title
  
  JSIAM Letters
  
  Volume: 5 Pages: 33-36
- NAID
  130003371118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400146
[Journal Article] The best estimation corresponding to continuous model of Thomson cable2013
- Author(s)
  Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe and Kazuo Takemura
- Journal Title
  
  Japan Society for Industrial and Applied Mathematics
  
  Volume: Volume 5 Pages: 53-56
- NAID
  130003371123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400210
[Journal Article] Complete low-cut filter and the best constant of Sobolev inequality2013
- Author(s)
  Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe and Kazuo Takemura
- Journal Title
  
  Japan Society for Industrial and Applied Mathematics
  
  Volume: Volume 5 Pages: 33-36
- NAID
  130003371118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400210
[Journal Article] The best estimation corresponding to continuous model of Thomson cable2013
- Author(s)
  H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe and K. Takemura
- Journal Title
  
  JSIAM Letters
  
  Volume: 5 Pages: 53-56
- NAID
  130003371123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400146
[Journal Article] Sobolev type inequalities of time-periodic boundary value problems for Heavisideand Thomson Cables2012
- Author(s)
  Kazuo Takemura, Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai and Hiroyuki Yamagishi
- Journal Title
  
  Boundary ValueProblems
  
  Volume: 2012/ 95 Issue: 1 Pages: 1-15
- DOI
  10.1186/1687-2770-2012-95
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148, KAKENHI-PROJECT-24540199
[Journal Article] The Best Constant of Discrete Sobolev Inequality Corresponding to a Bending Problem of a String2012
- Author(s)
  Hiroyuki Yamagishi, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura and Yoshinori Kametaka
- Journal Title
  
  Kumamoto Journal of Mathematics
  
  Volume: 25 Pages: 1-15
- NAID
  110009930106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] Elliptic theta function and the best constants of Sobolev-type inequalities2012
- Author(s)
  H.Yamagishi, Y.Kametaka, A.Nagai, K.Watanabe, K.Takemura
- Journal Title
  
  JSIAM Letters
  
  Volume: 4 Pages: 1-4
- NAID
  130002129398
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The Best Constant of Discrete Sobolev InequalityCorresponding to a Bending Problem of a String2012
- Author(s)
  Hiroyuki Yamagishi, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura and Yoshinori Kametaka
- Journal Title
  
  Kumamoto Journal of Mathematics
  
  Volume: 25巻 Pages: 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] Elliptic theta function and the best constants of Sobolev-type inequalities2012
- Author(s)
  Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe and Kazuo Takemura
- Journal Title
  
  JSIAM Letters
  
  Volume: 4巻 Pages: 1-4
- NAID
  130002129398
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] The best constant of discrete Sobolev inequality corresponding to a bending problem of a string2012
- Author(s)
  H.Yamagishi, A.Nagai, K.Watanabe, K.Takemura, Y.Kametaka
- Journal Title
  
  Kumamoto Journal of Mathematics
  
  Volume: 25 Pages: 1-15
- NAID
  110009930106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] 正多面体上の離散ソボレフ不等式の最良定数2011
- Author(s)
  亀高惟倫,渡辺宏太郎,山岸弘幸,永井敦,武村一雄
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 21巻 Pages: 289-308
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] 正多面体上の離散ソボレフ不等式の最良定数2011
- Author(s)
  亀高惟倫, 渡辺宏太郎, 山岸弘幸, 永井敦, 武村一雄
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 21 Pages: 289-308
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] 正多面体上の離散ソボレフ不等式の最良定数2011
- Author(s)
  亀高惟倫, 渡辺宏太郎, 山岸弘幸, 永井敦, 武村一雄
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 21 Pages: 289-308
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] The Best Constant Of Sobolev Inequality Corresponding To Clamped Boundary Value Problem2011
- Author(s)
  K.Watanabe, Y.Kametaka, H.Yamagishi, A.Nagai, K.Takemura
- Journal Title
  
  Boundary Value Problems
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The best constant of Sobolev inequality corresponding to a bending problem of a beam on a half line2011
- Author(s)
  K.Takemura, Y.Kametaka, K.Watanabe, A.Nagai, H.Yamagishi
- Journal Title
  
  Far East Journal of Applied Mathematics
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The Best Constant of Sobolev Inequality Corresponding To Clamped Boundary Value Problem2011
- Author(s)
  K. Watanabe, Y. Kametaka, H. Yamagishi, A. Nagai, K. Takemura
- Journal Title
  
  Boundary Value Problems
  
  Volume: Vol.2011 Pages: 875057-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The Best Constant of Sobolev Inequality Corresponding To Clamped Boundary Value Problem2011
- Author(s)
  K.Watanabe, Y.Kametaka, H.Yamagishi, A.Nagai, K.Takemura
- Journal Title
  
  Boundary Value Problems Vol.2011(to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] Giambelli's formula and the best constant of Sobolev inequality in one dimensional Euclidean space2010
- Author(s)
  Y.Kametaka, A.Nagai, K.Watanabe, K.Takemura, H.Yamagishi
- Journal Title
  
  Scientiae Mathematicae Japonicae
  
  Volume: 71, No.1 Pages: 27-41
- NAID
  10027156121
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] Giambelli'sformula and the best constant of Sobolev inequality in one dimensional Euclidean space2010
- Author(s)
  Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura and Hiroyuki Yamagishi
- Journal Title
  
  Scientiae Mathematicae Japonicae
  
  Volume: 71,No.1 Pages: 27-41
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] The best constant of Sobolev Inequality corresponding to a bending problem of a beam on an interval2009
- Author(s)
  K.Takemura, H.Yamagishi, Y.Kametaka, K.Watanabe, A.Nagai
- Journal Title
  
  Tsukuba J.Math. 33
  
  Pages: 253-280
- NAID
  120006309462
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The best constant of discrete Sobolev inequality2009
- Author(s)
  永井敦, 亀高惟倫, 渡辺宏太郎
- Journal Title
  
  J.Phys.A 42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The best constant of Sobolev Inequality corresponding to a bending problem of a beam on an interval2009
- Author(s)
  K. Takemura, H. Yamagishi, Y. Kametaka, K. Watanabe, A. Nagai
- Journal Title
  
  Tsukuba J. Math
  
  Volume: 33 Pages: 253-280
- NAID
  120006309462
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The best constant of discrete Sobolev inequality2009
- Author(s)
  A.Nagai
- Journal Title
  
  Journal of Physics A 42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] 弾性基盤上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数2009
- Author(s)
  山岸弘幸、亀高惟倫、武村一雄、渡辺宏太郎、永井敦
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 19 Pages: 489-518
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] The best constant of Sobolev inequality corresponding to a bending problem of a beam on aninterval2009
- Author(s)
  Kazuo Takemura, Hiroyuki Yamagishi, Yoshinori Kametaka, Kohtaro Watanabe and Atsushi Nagai
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 33,No.2 Pages: 253-280
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] The best constant of discrete Sobolev inequality2009
- Author(s)
  A. Nagai, Y. Kametaka, K. Watanabe
- Journal Title
  
  J. Phys. A
  
  Volume: 42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] Giambelli's formula and the best constant of Sobolev inequality in ine dimensional Euclidean space2009
- Author(s)
  Y.Kametaka, A.Nagai, K.Watanabe, K.Takemura, H.Yamagishi
- Journal Title
  
  Scienticae Mathematicae Japonicae e-2009
  
  Pages: 621-635
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] Giambelli's formula and the best constant of Sobolev inequality in ine dimensional Euclidean space2009
- Author(s)
  Y. Kametaka, A. Nagai, K. Watanabe, K. Takemura, H. Yamagishi
- Journal Title
  
  Scienticae Mathematicae Japonicae
  
  Volume: e-2009 Pages: 621-635
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] 弾性基盤上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数2009
- Author(s)
  山岸弘幸、亀高惟倫、武村一雄、渡辺宏太郎、永井敦
- Journal Title
  
  日本応用数理学会論文誌 19
  
  Pages: 489-518
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] 弾性基盤上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数2009
- Author(s)
  山岸弘幸,亀高惟倫,武村一雄,渡辺宏太郎,永井敦
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 19,No.4 Pages: 489-518
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148
[Journal Article] Diserete Bernoulli Polynomials and the best constant of Sobolev inequality2008
- Author(s)
  A. Nagai
- Journal Title
  
  Funkcialaj Ekvacioj 51
  
  Pages: 307-327
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540138
[Journal Article] Green function for boundary value problem of 2M-th order linear ordinary differential equations with open boundary condition2007
- Author(s)
  A.Nagai
- Journal Title
  
  Far East Journal of Applied Mathematics 26
  
  Pages: 393-406
- Data Source
  KAKENHI-PROJECT-16740092
[Journal Article] GREEN FUNCTION FOR BOUNDARY VALUE PROBLEM OF 2M-TH ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH OPEN BOUNDARY CONDITION2007
- Author(s)
  A.Nagai, K.Takemura, Y.Kametaka, K.Watanabe, H.Yamagishi
- Journal Title
  
  Far East Journal of Applied Mathematics Volume 26,No. 3
  
  Pages: 393-406
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] The best constant of Sobolev inequality which correspond to a bending problem of a string with periodic boundary condition2007
- Author(s)
  Y.Kametaka, K.Watanabe, A.Nagai, H.Yamagishi, K.Takemura
- Journal Title
  
  Scientiae Mathematicae Japonicae Online e-2007
- NAID
  10019758321
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] POSITIVITY AND HIERARCHICAL STRUCTURE OF GREEN FUNCTIONS FOR BENDING OF A BEAM : BOUNDARY VALUE PROBLEMS WITH BOUNDARY CONDITIONS OF NOT SIMPLE TYPE2007
- Author(s)
  K.Takemura, Y.Kametaka, A.Nagai, N.D.Kopachevsky
- Journal Title
  
  Far East Journal of Mathematical Sciences vol. 25 no. 2
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] GREEN FUNCTION FOR BOUNDARY VALUE PLOBREM OF 2M-YH ORDER LINEAR ORDINARY DIFFRRENTIAL EQUATION WITH OPEN BOUNDARY CONDITION2007
- Author(s)
  A.Nagai, K.Takemura, Y.Kametaka, K.Watanabe, H.Yamagishi
- Journal Title
  
  Far East Journal of Applied Mathematics Volume 26・No. 3
  
  Pages: 393-406
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] RIEMANN ZETA FUNCRION, BERNOULLI POLYNOMIALS AND THE BEST CONSTANT OF SOBOLEW INEQUALITY2007
- Author(s)
  Y.Kametaka, H.Yamagishi, K.Watanabe, A.Nagai, K.Takemura
- Journal Title
  
  Scientiae Mathematicae Japonicae Online e-2007
  
  Pages: 63-89
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] GREEN FUNCTION FOR BOUNDARY VALUE PROBLEM OF 2M-TH ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH OPEN BOUNDARY CONDITION2007
- Author(s)
  A.Nagai, K.Takemura, Y.Kametaka, K.Watanabe, H.Yamagishi
- Journal Title
  
  Far East Journal of Applied Mathematics Volume 26, No. 3
  
  Pages: 393-406
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] The best constant of Sobolev inequality corresponding to the periodic boundary value problem for (-1)^M(d/dx)^{2M}2007
- Author(s)
  Y.Kametaka, Y.Oshime, K.Watanabe, H.Yamagishi, A.Nagai, K.Takemura
- Journal Title
  
  Scientiae Mathematicae Japonicae Online e-2007
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] RIEMANN ZETA FUNCTION, BERNOULLI POLYNOMIALS AND THE BEST CONSTANT OF SOBOLEV INEQUALITY2007
- Author(s)
  Y.Kametaka, H.Yamagishi, K.Watanabe, A.Nagai, K.Takemura
- Journal Title
  
  Scientiae Mathematicae Japonicae Online e-2007
  
  Pages: 63-89
- NAID
  10019758757
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] 離散ベルヌイ多項式と離散ソボレフ不等式の最良定数2006
- Author(s)
  永井敦, 亀高惟倫, 山岸弘幸, 竹村一雄, 渡辺宏太郎
- Journal Title
  
  応用力学研究所研究集会報告「非線形波動および非線形力月系の現象と数理」 No, 17ME-S2
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] Best constant of Sobolev inequalitu in an n dimensional Euclidean space2005
- Author(s)
  Y.Kametaka, K.Watanabe, A.Nagai
- Journal Title
  
  Proceedings of Japan Academy 81A
  
  Pages: 57-60
- Data Source
  KAKENHI-PROJECT-16740092
[Journal Article] The Best Constant of Sobolev Inequality in an n dimensional Euclidean space2005
- Author(s)
  Y.Kametaka, K.Watanabe, A.Nagai, S.Pyatokov
- Journal Title
  
  Scientie Mathematica Japonica 61
  
  Pages: 15-23
- NAID
  10014491696
- Data Source
  KAKENHI-PROJECT-16740092
[Journal Article] The best constant of Sobolev inequality in an n dimensional Euclidean space2005
- Author(s)
  Y.Kametaka, K.Watanabe, A.Nagai
- Journal Title
  
  Prodeedings of the Japan Academy Vol.81, Ser.A, No. 3
  
  Pages: 57-60
- NAID
  10014491696
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] The best constant of Sobolev inequality in an n dimensional Euclidean space2005
- Author(s)
  Y.Kametaka, K.Watanabe, A.Nagai
- Journal Title
  
  Prodeedings of the Japan Academy Vol. 81, Ser. A, No. 3
  
  Pages: 57-60
- NAID
  10014491696
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540175
[Journal Article] Two-Point Simple-type Self-adjoint Boundary Value Problems for Bending a Beam - Dependency of Green Functions on an Interval Length2004
- Author(s)
  K.Takemura, Y.Kametaka, A.Nagai
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 21
  
  Pages: 237-258
- NAID
  10018379717
- Data Source
  KAKENHI-PROJECT-16740092
[Journal Article] 重調和作用素に対する円内部境界値問題2004
- Author(s)
  亀高惟倫, 竹居賢治, 永井敦
- Journal Title
  
  数理解析研究所講究録 1385
  
  Pages: 39-55
- Data Source
  KAKENHI-PROJECT-16740092
[Journal Article] An integrable mapping with fractional difference2003
- Author(s)
  A.Nagai
- Journal Title
  
  Journal of the Physical Society of Japan Vol.72
  
  Pages: 2181-2183
- NAID
  110001974306
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540119
[Journal Article] An Integrable Mapping with Fractional Difference2003
- Author(s)
  A.Nagai
- Journal Title
  
  J.of Phys.Soc.Japan 72
  
  Pages: 2181-2183
- NAID
  110001974306
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540026
[Journal Article] On a certain fractional q-difference and its eigen function2003
- Author(s)
  A.Nagai
- Journal Title
  
  Journal of Nonlinear Mathematical Physics Vol.10,Suppl.2
  
  Pages: 133-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540119
[Journal Article] An Integrable Mapping with Fractional Difference2003
- Author(s)
  A.Nagai
- Journal Title
  
  Journal of the Physical Society of Japan 72
  
  Pages: 2181-2183
- NAID
  110001974306
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540026
[Journal Article] An integrable mapping with fractional difference2003
- Author(s)
  A.Nagai
- Journal Title
  
  Journal of the Physical Society of Japan Vol.72,No.9
  
  Pages: 2181-2183
- NAID
  110001974306
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540119
[Journal Article] On a certain fractional q-difference and its eigen function2003
- Author(s)
  A.Nagai
- Journal Title
  
  Journal of Nonlinear Mathematical Physics Vol.10 Suppl.2
  
  Pages: 133-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540119
[Presentation] グリーン関数を用いたソボレフ不等式の最良定数計算 - 離散化と応用2024
- Author(s)
  永井敦
- Organizer
  2024 早稲田離散数理研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03360
[Presentation] 完全グラフに対応する2種類の離散l^pソボレフ不等式の最良定数2024
- Author(s)
  山岸弘幸，渡辺宏太郎，永井敦
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-22K03360
[Presentation] 筋交問題に対応する離散ソボレフ不等式の最良定数2023
- Author(s)
  永井敦
- Organizer
  応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-22K03360
[Presentation] 離散ソボレフ不等式とその応用2021
- Author(s)
  永井敦
- Organizer
  京都大学数理解析研究所共同研究「可積分系数理の諸相」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03347
[Presentation] A difference equation connecting integrable and chaotic mappings2019
- Author(s)
  Atsushi Nagai, Hiroko Yamaki, Kana Yanuma
- Organizer
  Integrable systems, special functions and combinatorics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03347
[Presentation] 13種C60フラーレンと離散ソボレフ不等式の最良定数2015
- Author(s)
  亀高惟倫, 永井敦, 山岸弘幸, 武村一雄, 渡辺宏太郎
- Organizer
  日本応用数理学会
- Place of Presentation
  金沢大学（石川県金沢市角間町）
- Year and Date
  2015-09-09
- Data Source
  KAKENHI-PROJECT-25400146
[Presentation] (－1)M(d/dx)2M のディリクレ・ノイマン境界値問題に対応するLp ソボレフ不等式の最良定数2014
- Author(s)
  山岸弘幸，亀高惟倫，永井敦，渡辺宏太朗，武村一雄
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400146
[Presentation] 切頂正多面体上の離散ソボレフ不等式の最良定数2014
- Author(s)
  山岸弘幸，亀高惟倫，永井敦，渡辺宏太朗，武村一雄
- Organizer
  応用数理学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-25400146
[Presentation] 3次元球における重調和作用素と対応するソボレフ不等式の最良定数2009
- Author(s)
  永井敦
- Organizer
  日本数学会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20540138
[Presentation] The best constant of Sobolev inequalities2008
- Author(s)
  Atsushi Nagai
- Organizer
  Symmetries and Integrability of Difference Equations 8
- Place of Presentation
  サンタテールカナダ
- Year and Date
  2008-06-28
- Data Source
  KAKENHI-PROJECT-20540138
[Presentation] カーボンナノチューブトーラス上の離散ソボレフ不等式の最良定数
- Author(s)
  山岸弘幸, 亀高惟倫, 永井敦
- Organizer
  日本応用数理学会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-06 – 2015-03-07
- Data Source
  KAKENHI-PROJECT-25400146
[Presentation] カーボンナノチューブ上での離散ソボレフ不等式の最良定数
- Author(s)
  山岸弘幸, 亀高惟倫, 永井敦
- Organizer
  日本応用数理学会
- Place of Presentation
  政策研究大学院大学
- Year and Date
  2014-09-05 – 2014-09-07
- Data Source
  KAKENHI-PROJECT-25400146

1. KAMETAKA Yoshinori (00047218)

# of Collaborated Projects: 7 results

# of Collaborated Products: 53 results
2. OGAWA Toshiyuki (80211811)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. TAKEMURA Kazuo (60367216)

# of Collaborated Projects: 4 results

# of Collaborated Products: 23 results
4. TSUJIMOTO Satoshi (60287977)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. OKADO Masato (70221843)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. KUNIBA Atsuo (70211886)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KONDO Koichi (30314397)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NAKAMURA Yoshimasa (50172458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. NOBE Atsushi (80397728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 薩摩順吉 (70093242)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 梶原健司 (40268115)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 時弘哲治 (10163966)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 岡本和夫 (40011720)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 太田泰広 (10213745)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 楳田登美男 (20160319)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 關戸啓人 (40718235)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. WATANABE Kohtaro

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Nagai Atsushi 永井 敦

NAGAI Atsushi 永井 敦

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Mathematics and applications of discrete Sobolev inequalitiesPrincipal Investigator

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New developments in the research of discrete Sobolev inequalities - Applications to mathematical engineeringPrincipal Investigator

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Discretization of Sobolev inequalities and its engineering applicationsPrincipal Investigator

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The Best Constant of Sobolev Inequalities-from continuous to discretePrincipal Investigator

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可積分系の視点に基づく非整数階微分・差分方程式の研究Principal Investigator

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Research on algebraic structures of ultradiscrete soliton equations and applications to engineeringPrincipal Investigator

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Nagai Atsushi 永井敦

NAGAI Atsushi 永井敦