| 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. |
| 关键词: 生灭过程 泊松方程 Cheeger型等周不等式 |
| DOI： |
| 分类号:O211.1 |
| 基金项目:Supported by National Natural Science Foundation of China(11001208); “the Fundamental Research Funds for the Central Universities” |
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| CHEEGER-TYPE ISOPERIMETRIC INEQUALITIES FOR BIRTH-DEATH PROCESSES |
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LIU Wei,PENG Gao-hui
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LIU Wei1,PENG Gao-hui2 (1. School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China) (2. College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China)
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| Abstract: |
| 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]. |
| Key words: birth-death process Poisson equation Cheeger-type isoperimetric inequality |
