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

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Papers (62)：

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
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
The best constant of discrete sobolev inequality corresponding to a discrete bending problem of a string. Saitama Mathematical Journal. 2022. 34. 19-46
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
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)：

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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Lectures and oral presentations (18)：

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)
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)
Best constant of Sobolev inequalities
(Symmetries and Integrability of Difference Equations 8 (SIDE8) 2008)
(-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)
Discrete Bernoulli Polynomials and the best constant of discrete Sobolev inequalities
(Symmetries and Integrability of Difference Equations 7(SIDE7) 2006)

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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)：

Work history (6)：

2017/04 - 現在 Tsuda University Department of Computer Science Professor
2014/04 - 2017/03 Professor, College of Industrial Technology, Nihon University
2007/04 - 2014/03/31 Associate Professor, College of Industrial Technology, Nihon University
2004/04 - 2007/03 Lecturer, College of Industrial Technology, Nihon University
1998/07 - 2004/03 Research Associate, Department of Mathematical Sciences, Faculty of Engineering Science

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Committee career (3)：

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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