LIMIT-THEOREMS FOR A SEQUENCE OF NONLINEAR REACTION-DIFFUSION SYSTEMS

被引：11
|
作者：
BLOUNT, D
机构：
[1] Department of Mathematics, Arizona State University, Tempe, AZ
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1993年 / 45卷 / 02期
基金：
美国国家科学基金会;
关键词：
REACTION-DIFFUSION EQUATION; STOCHASTIC PARTIAL DIFFERENTIAL EQUATION; DENSITY DEPENDENT BIRTH AND DEATH PROCESSES; CENTRAL LIMIT THEOREM;
D O I：
10.1016/0304-4149(93)90069-G
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：
A space-time jump Markov process, modeling a nonlinear chemical reaction with diffusion, is compared with the solution of a nonlinear reaction-diffusion equation. A central limit theorem and law of large numbers are shown to hold in the nicest possible state spaces.
引用
收藏
页码：193 / 207
页数：15
相关论文
共 50 条
12345