关于生灭过程的Cheeger型等周不等式(英文)  

CHEEGER-TYPE ISOPERIMETRIC INEQUALITIES FOR BIRTH-DEATH PROCESSES

作　　者：刘伟[1] 彭高辉[2] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072 [2]华北水利水电学院数学与信息科学学院,河南郑州450011

出　　处：《数学杂志》2011年第4期653-658,共6页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11001208);"the Fundamental Research Funds for the Central Universities"

摘　　要：本文研究了关于生灭过程的Cheeger型等周不等式的问题.利用泊松方程解的李普希兹范数的估计的方法,获得了Cheeger型等周不等式的最优常数的估计,推广了Djellout和吴黎明[8]的结果.In this paper, we establish two kinds of Cheeger-type isoperimetric inequalities. By using the Lipschitzian norm estimate of the solution of Poisson equation -LG = g, we give the estimation of the optimal constants, which extend the result of Djellout and Wu [8].

关 键 词：生灭过程 泊松方程 Cheeger型等周不等式 

分 类 号：O211.1[理学—概率论与数理统计]