Laplace asymptotics for reaction-diffusion equations

Gérard Ben Arous; Alain Rouault

doi:10.1007/BF01199323

Laplace asymptotics for reaction-diffusion equations

Gérard Ben Arous, Alain Rouault

Mathematics

Research output: Contribution to journal › Article

Abstract

We obtain sharp (i.e. non logarithmic) asymptotics for the solution of non homogeneous Kolmogorov-Petrovski-Piskunov equation depending on a small parameter ε, for points ahead of the Freidlin-KPP front.

Original language	English (US)
Pages (from-to)	259-285
Number of pages	27
Journal	Probability Theory and Related Fields
Volume	97
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01199323
State	Published - Mar 1 1993

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Keywords

Mathematics Subject Classification (1991): 35K55, 35K57, 60F10, 60H30, 60J65, 60J80

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Cite this

Arous, G. B., & Rouault, A. (1993). Laplace asymptotics for reaction-diffusion equations. Probability Theory and Related Fields, 97(1-2), 259-285. https://doi.org/10.1007/BF01199323

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Access to Document

10.1007/BF01199323