APPLICATION OF COUPLING METHODS TO THE NEUMANN EIGENVALUE PROBLEM

被引：50

作者：

WANG, FY

机构：

[1] Department of Mathematics, Beijing Normal University, Beijing

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1994年 / 98卷 / 03期

关键词：

Mathematics Subject Classification (1991): 58G32; 58C50;

D O I：

10.1007/BF01192256

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

By using coupling methods, some lower bounds are obtained for the first Neumann eigenvalue on Riemannian manifolds. This method is new and the results improve some known estimates. An example shows that our estimates can be sharp.

引用

页码：299 / 306

页数：8

共 9 条

[1]

[Anonymous], 1992, MARKOV CHAINS NONEQU

[2]

Chavel I., 1984, EIGENVALUES RIEMANNI

[3]

CHEEGER J, 1975, COMPARISON THEOREMS

[4] COUPLING METHODS FOR MULTIDIMENSIONAL DIFFUSION-PROCESSES [J].

CHEN, MF ;

LI, SF .

ANNALS OF PROBABILITY, 1989, 17 (01) :151-177

[5]

CHEN MF, 1994, IN PRESS SCI SIN, V37

[6]

Ikeda N., 1981, STOCHASTIC DIFFERENT

[7]

Kendall W. S., 1986, Stochastics, V19, P111, DOI 10.1080/17442508608833419

[8]

Li P., 1980, P PURE MATH, VXXXVI, P205

[9]

SCHOEN R, 1988, DIFFERENTIAL GEOMETR

← 1 →