Collision Measure and Collision Local Time for (α, d, β) Superprocesses

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• 作者：Mytnik ; Leonid
• 关键词：Superprocess ; collision measure ; collision local time
• 刊名：Journal of Theoretical Probability
• 出版时间：1998
• 出版年：1998
• 期刊代码：20_08949840
• 类别：eco
• 卷：11
• 期：3
• 页码：733-763
• 数据来源：sp

摘要

Existence and uniqueness of the solutions for some nonlinear evolution equations with measure-valued boundary conditions is established. This gives the existence of the collision local time and the collision measure for two independent (α₁, d, β₁) and (α₂, d, β₂) superprocesses without using any moment conditions on the mass processes. We obtain expressions for the Laplace transforms of the collision local time and the collision measure.