On the support of super-Brownian motion with super-Brownian immigration

被引:0
|
作者
Hong, WM [1 ]
Zhong, HF
机构
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[2] Gannan Normal Coll, Dept Math, Jiangxi 341000, Peoples R China
关键词
super-Brownian motion; immigration; random medium; singular boundary value problem;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The support properties of the super Brownian motion with random immigration X-t(rho) are considered, where the immigration rate is governed by the trajectory of another super-Brownian motion rho. When both the initial state X-0(rho) of the process and the immigration rate process rho (0) are of finite measure and with compact supports, the probability of the support of the process X-t(rho) dominated by a ball is given by the solutions of a singular elliptic boundary value problem.
引用
收藏
页码:468 / 475
页数:8
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