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

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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.

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Authors and Affiliations

  1. Department of Mathematics, The University of British Columbia, Room 121, 1984 Mathematics Road, Vancouver, B.C., Canada, V6T 1Z2

    Leonid Mytnik

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  1. Leonid Mytnik
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Mytnik, L. Collision Measure and Collision Local Time for (α, d, β) Superprocesses. Journal of Theoretical Probability 11, 733–763 (1998). https://doi.org/10.1023/A:1022606715641

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  • DOI: https://doi.org/10.1023/A:1022606715641

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