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2001 Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-Hamiltonian Quasiclassics for Evolution Equations
Vassili Kolokoltsov
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Electron. J. Probab. 6: 1-16 (2001). DOI: 10.1214/EJP.v6-94

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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Vassili Kolokoltsov. "Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-Hamiltonian Quasiclassics for Evolution Equations." Electron. J. Probab. 6 1 - 16, 2001. https://doi.org/10.1214/EJP.v6-94

Information

Accepted: 15 August 2001; Published: 2001
First available in Project Euclid: 19 April 2016

MathSciNet: MR1873298
Digital Object Identifier: 10.1214/EJP.v6-94

Subjects:
Primary: 60J25
Secondary: 35K57 , 49L99 , 60F10

Keywords: curvilinear Ornstein-Uhlenbeck process , Dawson-Watanabe superprocess , logarithmic limit , reaction diffusion equation , small diffusion asymptotics

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Vol.6 • 2001
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