A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space

被引：0

作者：

Funano, Kei ^{[1
,2
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Div Math, 6-3-09 Aramaki Aza Aoba,Aoba Ku, Sendai 9808579, Japan

[2] Tohoku Univ, Res Ctr Pure & Appl Math, Grad Sch Informat Sci, 6-3-09 Aramaki Aza Aoba,Aoba Ku, Sendai 9808579, Japan

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 01期

关键词：

Neumann eigenvalues of the Laplacian; universal inequalities; convex domain; UPPER-BOUNDS;

D O I：

10.4153/S0008439523000735

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a new upper bound for Neumann eigenvalues of the Laplacian on a bounded convex domain in Euclidean space. As an application of the upper bound, we derive universal inequalities for Neumann eigenvalues of the Laplacian.

引用

页码：222 / 226

页数：5

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