On transition semigroups of (A, Ψ)-superprocesses with immigration
成果类型:
Article
署名作者:
Stannat, W
署名单位:
University of Bielefeld
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/aop/1055425784
发表日期:
2003
页码:
1377-1412
关键词:
摘要:
We study the global properties of transition semigroups (p(t)(nu,Psi,A)) of (A, Psi)-superprocesses over compact type spaces with possibly nonzero immigration nu in various function spaces. In particular, we compare the different rates of convergence of (p(t)(nu,Psi,A)) to equilibrium. Our analysis is based on an explicit formula for the Gateaux derivative of p(t)(nu,Psi,A) F.