Explicit bounds of tbe first eigenvalue

被引：45

作者：

Chen, MF ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2000年 / 43卷 / 10期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1007/BF02898239

中图分类号：

O29 [应用数学];

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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