Estimation of spectral gap for elliptic operators

被引：86

作者：

Chen, MF

Wang, FY

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 03期

关键词：

spectral gap; diffusion process; coupling;

D O I：

10.1090/S0002-9947-97-01812-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A variational formula for the lower bound of the spectral gap of an elliptic operator is presented in the paper for the first time. The main known results are either recovered or improved. A large number of new examples with sharp estimate are illustrated. Moreover, as an application of the march coupling, the Poincare inequality with respect to the absolute distribution of the process is also studied.

引用

页码：1239 / 1267

页数：29

共 18 条

[1]

[Anonymous], 1984, EIGENVALUES RIEMANNI

[2]

Chen M F, 1992, MARKOV CHAINS NONEQU

[3] ON ORDER-PRESERVATION AND POSITIVE CORRELATIONS FOR MULTIDIMENSIONAL DIFFUSION-PROCESSES [J].