ESTIMATES FOR LOWER BOUNDS OF EIGENVALUES OF THE KLEIN-GORDON OPERATOR

被引：0

作者：

Sun, He-Jun ^{[1
]}

Zeng, Ling-Zhong ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Coll Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China

[2] Saga Univ, Grad Sch Sci & Engn, Dept Math, Saga 8408502, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Eigenvalue; inequality; Klein-Gordon operator; CAUCHY PROCESS;

D O I：

10.7153/mia-17-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some inequalities for eigenvalues of the Klein-Gordon operator on a bounded domain in an n-dimensional Euclidean space. These inequalities give some sharper estimates for lower bounds of the sums of its first k eigenvalues, which improve the recent results of Yildirim Yolcu.

引用

页码：137 / 147

页数：11

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