On transition semigroups of (A,Ψ)-superprocesses with immigration

On transition semigroups of (A,Ψ)-superprocesses with immigration
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关于(A,Ψ)-超过程的迁移半群

DOI:
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发表时间:
2003
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通讯作者:
W. Stannat
W. Stannat
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作者:
W. Stannat

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研究了各种函数空间中可能具有非零迁移ν的紧致型空间上的(A,Ψ)-超过程的转移半群(pν,Ψ,At)的全局性质。特别地,我们比较了(pν,λ,Δ t)收敛到均衡的不同速度。我们的分析是基于一个明确的公式的Gateaux导数的pν,ε,Δ tF。
We study the global properties of transition semigroups (pν,Ψ,At) of (A,Ψ)-superprocesses over compact type spaces with possibly nonzero immigration ν in various function spaces. In particular, we compare the different rates of convergence of (pν,Ψ,At) to equilibrium. Our analysis is based on an explicit formula for the Gateaux derivative of pν,Ψ,AtF.