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 Electronic Journal of Probability > Vol. 6 (2001) > Paper 21 open journal systems 


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.


Full text: PDF

Pages: 1-16

Published on: August 15, 2001
Bibliography
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Electronic Journal of Probability. ISSN: 1083-6489