Laplace asymptotics for reaction-diffusion equations
type: Item
instance of: scholarly article
title: Laplace asymptotics for reaction-diffusion equations
zbMATH Open document ID: 0794.60063
DOI: 10.1007/BF01199323
author: Gerard Ben Arous
author: Alain Rouault
publication date: 1994-08-15T00:00:00Z
review text: We obtain sharp (i.e. non logarithmic) asymptotics for the solution of non homogeneous Kolmogorov-Petrovskij-Piskunov equation depending on a small parameter \(\varepsilon\), for points ahead of the Frejdlin-KPP front.
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 568990
zbMATH Keywords: Cameron-Martin space
zbMATH Keywords: Kolmogorov-Petrovskij-Piskunov equation
MaRDI profile type: Publication
cites work: Q3664178
cites work: Methods de laplace et de la phase stationnaire sur l'espace de wiener
cites work: KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees
cites work: Q3034136
cites work: Functional Integration and Partial Differential Equations. (AM-109)
cites work: Coupled reaction-diffusion equations
cites work: Branching Markov processes. I
cites work: Gaussian measures in Banach spaces
cites work: Travelling waves in inhomogeneous branching Brownian motions. II
cites work: Some Asymptotic Formulas for Wiener Integrals
full work available at URL: https://doi.org/10.1007/bf01199323
OpenAlex ID: W2079724518
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 568990