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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