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 › peer-review

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 1993

Keywords

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

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/BF01199323

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title = "Laplace asymptotics for reaction-diffusion equations",

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.",

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author = "Arous, {G{\'e}rard Ben} and Alain Rouault",

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AU - Rouault, Alain

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AB - 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.

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

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JO - Probability Theory and Related Fields

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ER -

Laplace asymptotics for reaction-diffusion equations

Abstract

Keywords

ASJC Scopus subject areas

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