Rchr
J-GLOBAL ID:200901087580151856
Update date: Sep. 01, 2024
Atsushi Nagai
ナガイ アツシ | Atsushi Nagai
Affiliation and department:
Research field (1):
Mathematical analysis
Research keywords (4):
Sobolev inequality
, Fractional Derivative and Difference
, Differential Equations
, Integrable systems
Research theme for competitive and other funds (13):
- 2023 - 2028 Best evaluation of Sobolev inequality using reproducing kernel and study of its application to science and engineering
- 2022 - 2027 Mathematics and applications of discrete Sobolev inequalities
- 2018 - 2022 離散ソボレフ不等式研究の新展開ー数理工学への応用
- 2013 - 2017 Best evaluation of the Sobolev inequality using the reproducing kernel theory and its applications
- 2009 - 2012 Best evaluation of Sobolev inequality based on the perspective of special function theory
- 2005 - 2006 Study of Green function of higher order / fractional order differential equations from a viewpoint of a reproducing kernel theory
- 2003 - 2005 Application of the discrete integrable systems on the semi-infinite lattice to the system of the bi-orthogonal polynomials
- 2002 - 2004 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
- 2002 - 2004 Combinatorial Study of Crystal Bases and its Application to Discrete Integrable Systems
- 2000 - 2001 Studies on the orthogonal polynomials, the continued fractions and the discrete integrable systems
- 1999 - 2001 Affine Lie algebra characters and Bethe Ansatz
- 1999 - 2000 離散ソリトン方程式の数理工学への応用
- 1999 - 1999 差分方程式の対称性と可積分性
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Papers (62):
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Atsushi Nagai, Akari Kano, Maho Kikuchi, Rikako Uehara. The best constant of discrete Sobolev inequalities corresponding to braced grids : deformability and rigidity. RIMS Kokyuroku Bessatsu. 2023. B91. 37-44
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Kametaka Yoshinori, Watanabe Kohtaro, Nagai Atsushi, Takemura Kazuo, Yamagishi Hiroyuki. Positivity and Hierarchical Structure of four Green Functions Corresponding to a Bending Problem of a Beam on a half line. Math. J. Okayama Univ. 2023. 65. 1. 145-173
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The best constant of discrete sobolev inequality corresponding to a discrete bending problem of a string. Saitama Mathematical Journal. 2022. 34. 19-46
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Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai, Kazuo Takemura, Hiroyuki Yamagishi, Hiroto Sekido. The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers. JSIAM Letters. 2020. 12. 49-52
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Kazuo Takemura, Yoshinori Kametaka, Atsushi Nagai. A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph. Symmetry. 2018. 10. 1
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MISC (1):
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Nagai Atsushi, Kametaka Yoshinori, Yamagishi Hiroyuki, Takemura Kazuo, Watanabe Kohtaro. The best constant of Sobolev inequality : From continuous to discrete (Applications of Reproducing Kernels). RIMS Kokyuroku. 2008. 1618. 89-94
Books (7):
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グリーン関数 = Green function
裳華房 2022 ISBN:9784785315979
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応用数理ハンドブック
朝倉書店 2013
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Basic Mathematics for Calculus
2011
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工学基礎 微分積分
サイエンス社 2009
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線形代数
裳華房 2008
more...
Lectures and oral presentations (18):
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3次元球内部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
(日本数学会 2009)
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円板内の重調和作用素と対応するソボレフ不等式の最良定数
(日本数学会 2009)
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Best constant of Sobolev inequalities
(Symmetries and Integrability of Difference Equations 8 (SIDE8) 2008)
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(-1)^M(d/dx)^2M に対する両端自由端境界値問題のグリーン関数
(日本数学会 2007)
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Discrete Bernoulli Polynomials and the best constant of discrete Sobolev inequalities
(Symmetries and Integrability of Difference Equations 7(SIDE7) 2006)
more...
Education (3):
- 1993 - 1996 The University of Tokyo Graduate School, Division of Mathematical Sciences Department of Mathematical Sciences
- 1991 - 1993 University of Tokyo Graduate School of Engineering
- - 1991 The University of Tokyo Faculty of Engineering Department of Mathematical Engineering and Information Physics
Professional career (1):
- PhD(Mathematical Sciences) (The University of Tokyo)
Work history (6):
Committee career (3):
- 2009 - 2023/03 日本応用数理学会 日本応用数理学会JSIAM Letters 編集委員会委員
- 2020/04 - 2022/03 日本応用数理学会 理事
- 2014/04 - 2016/03 日本応用数理学会 日本応用数理学会雑誌「応用数理」編集委員会委員
Awards (1):
- 2021/09 - JSIAM Letters Prize The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers
Association Membership(s) (3):
日本数学会
, 日本物理学会
, 日本応用数理学会
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