Wave front propagation in semi-linear differential equations and systems of KPP-type
type: Item
instance of: scholarly article
title: Wave front propagation in semi-linear differential equations and systems of KPP-type
zbMATH Open document ID: 0805.35011
DOI: 10.1007/BF02790366
published in: Journal d'Analyse Mathématique
publication date: 1995-02-01T00:00:00Z
review text: The author investigates by means of the theory of Markov processes and Markov times the asymptotic behavior as \(\varepsilon \to 0\) of the solution of the problem \[ D_ t u^ \varepsilon = \varepsilon Lu^ \varepsilon + {1 \over \varepsilon} f(x,u^ \varepsilon),\quad x \in \mathbb{R}^ r, \;t>0, \qquad u^ \varepsilon (0,x) = g(x), \quad x \in \mathbb{R}^ r, \] where \(L\) is a uniformly elliptic operator in nondivergence form and with smooth coefficients.
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 640340
zbMATH Keywords: Markov processes
author: Mark Freidlin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02790366
OpenAlex ID: W1972680918
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description: scientific article; zbMATH DE number 640340