研究者詳細 - 永井　敦

論文 - 永井　敦

分割表示 45 件中 1 - 20 件目／全件表示 >>

The best constant of discrete Sobolev inequalities corresponding to braced grids : deformability and rigidity (Various aspects of integrable systems) 査読

NAGAI Atsushi, KANO Akari, KIKUCHI Maho, UEHARA Rikako

RIMS Kokyuroku Bessatsu B91 37 - 44 2023年2月

The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers 査読

Kametaka Yoshinori, Watanabe Kohtaro, Nagai Atsushi, Takemura Kazuo, Yamagishi Hiroyuki, Sekido Hiroto

JSIAM Letters 12 ( 0 ) 49 - 52 2020年

記述言語：英語出版者・発行元：The Japan Society for Industrial and Applied Mathematics

<p> The best constants of discrete Sobolev inequalities corresponding to 1812 isomers of C60 fullerene are found. Classical mechanical models of these isomers with a linear spring on each edge are investigated. The best constants stand for rigidities of these models. We show the best constants of 1812 isomers are distinct rational numbers and among these, Buckyball (or equivalently truncated icosahedron) takes the least. In other words, one can say that the Buckyball is the most rigid among 1812 C60 fullerene isomers. </p>

DOI： 10.14495/jsiaml.12.49

CiNii Research

Discrete Bernoulli polynomials and the best constant of discrete Sobolev inequality 査読

A. Nagai, Y. Kametaka, H. Yamagishi, K. Takemura and K. Watanabe

Funkcialaj Ekvacioj 51 307 - 327 2008年7月

Best constant of Sobolev inequality in an $n$-dimensional Euclidean space 査読

Y. Kametaka, K. Watanabe and A. Nagai

Proceedings of Japan Academy Ser. A 81 57 - 60 2005年4月

Proof of solitonical natures of box and ball systems by means of inverse ultra-discretization 査読

T. Tokihiro, A. Nagai and J. Satsuma

Inverse Problems 15 1639 - 1662 1999年12月

Positivity and Hierarchical Structure of four Green Functions Corresponding to a Bending Problem of a Beam on a half line 査読

Kametaka Yoshinori , Watanabe Kohtaro , Nagai Atsushi , Takemura Kazuo , Yamagishi Hiroyuki

Mathematical Journal of Okayama University 65 ( 1 ) 145 - 173 2023年1月

The best constant of discrete Sobolev inequality corresponding to a discrete bending problem of a string 査読

Hiroyuki Yamagishi and Atsushi Nagai

Saitama Mathematical Journal 34 19 - 46 2022年2月

A Hierarchical Structure for the Sharp Constants of Discrete Sobolev Inequalities on a Weighted Complete Graph (jointly worked) 査読

Kazuo Takemura, Yoshinori Kametaka and Atsushi Nagai

Symmetry 2018 ( 10 ) 1 - 13 2017年12月

Two types of discrete Sobolev inequalities on a weighted Toeplitz graph 査読

K. Takemura, A. Nagai and Y. Kametaka

Linear Algebra and its Applications 507 344 - 355 2016年6月

The Best Constant of Discrete Sobolev Inequality on the C60 Fullerene Buckyball 査読

Y. Kametaka, A. Nagai, H. Yamagishi, K. Takemura, and K. Watanabe

Journal of the Physical Society of Japan 84 2015年7月

A direct approach to the ultradiscrete KdV equation with negative and non-integer site values 査読

C R Gilson, J J C Nimmo and A. Nagai

J. Phys. A: Math. Theor. 48 2015年7月

Sobolev inequality of free boundary value problem for $(-1)^M (d/dx)^{2M}$ 査読

K. Takemura, A. Nagai, Y. Kametaka, K. Watanabe and H. Yamagishi

Journal of Inequalities and Applications 2015年2月

切頂正4,6,8面体上の離散ソボレフ不等式の最良定数査読

亀高惟倫, 永井敦

日本応用数理学会論文誌 25 2015年

The best estimation corresponding to continuous model of Thomson cable 査読

H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe and K. Takemura

JSIAM Letters 5 53 - 56 2013年8月

The Best Constant of Three Kinds of Discrete Sobolev Inequalities on Regular Polyhedron 査読

H. Yamagishi, Y. Kametaka, K. Watanabe and A. Nagai

Tokyo J. Math. 36 253 - 268 2013年6月

Positivity and hierarchical structure of 16 Green functions corresponding to a bending problem of a beam 査読

Y. Kametaka, K. Takemura, H. Yamagishi, and A. Nagai

Saitama Math. J. 29 1 - 24 2013年2月

Complete low-cut filter and the best constant of Sobolev inequality 査読

H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe and K. Takemura

JSIAM Lettters 5 33 - 36 2013年1月

Lyapunov-type inequalities for $2M$-th order equations under clamped-free boundary conditions 査読

K. Watanabe, K. Takemura, Y. Kametaka, A. Nagai and H. Yamagishi

Journal of Inequalities and Applications 2012年12月

Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables 査読

K. Takemura, Y. Kametaka, K. Watanabe, A. Nagai and H. Yamagishi

Boundary Value Problems 2012年11月

Elliptic theta function and the best constants of Sobolev-type inequalities 査読

H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe and K. Takemura

JSIAM Letters 4 1 - 4 2012年2月

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