Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-Hamiltonian Quasiclassics for Evolution Equations

Vassili N. Kolokoltsov (Nottingham Trent University)

Abstract


The small diffusion and fast dying out asymptotics is calculated for nonlinear equations of a class of superprocesses on manifolds, and the corresponding logarithmic limit of the solution is shown to be given by a solution of a certain problem of calculus of variations with a non-additive (and non-integral) functional.

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Pages: 1-16

Publication Date: August 15, 2001

DOI: 10.1214/EJP.v6-94

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