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

Leonid Mytnik ()
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Leonid Mytnik: The University of British Columbia

Journal of Theoretical Probability, 1998, vol. 11, issue 3, 733-763

Abstract: Abstract 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.

Keywords: Superprocess; collision measure; collision local time (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022606715641

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