Explicit bounds of the first eigenvalue

被引：25

作者：

陈木法

机构：

[1] China

[2] Beijing 100875

[3] Department of Mathematics

[4] Beijing Normal University

来源：

Science China Mathematics | 2000年 / 10期

关键词：

first eigenvalue; elliptic operator; Riemannian manifold; birth-death process;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

It is proved that the general formulas, obtained recently for the lower bound of the first eigenvalue, can be further bounded by one or two constants depending on the coefficients of the corresponding operators only. Moreover, the ratio of the upper and lower bounds is no more than four.

引用

页码：1051 / 1059

页数：9

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