Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations
type: Item
instance of: scholarly article
title: Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations
zbMATH Open document ID: 1165.34033
author: Lutz Recke
author: Oleh Omel'chenko
published in: Journal of Differential Equations
publication date: 2008-12-12T00:00:00Z
full work available at URL: http://edoc.hu-berlin.de/18452/3430
review text: The authors prove existence, local uniqueness and asymptotic estimates for boundary layer solutions to singularly perturbed equations of the type \[ (\varepsilon (x))^{2}u'(x))'=f(x,u(x))+g(x,u (x),\varepsilon(x)u'(x)),\quad 0<x<1 \] with Dirichlet and Neumann boundary conditions. Here, the functions \(\varepsilon \) and \(g\) are small and regarded as singular and regular functional perturbation parameters.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5382300
zbMATH Keywords: singular perturbation
zbMATH Keywords: asymptotic approximation
zbMATH Keywords: boundary layer
zbMATH Keywords: implicit function theorem
zbMATH Keywords: space depending small diffusion coefficient
reviewed by: Jiaqi Mo
MaRDI profile type: Publication
OpenAlex ID: W1996825654
Wikidata QID: Q58160746
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DOI: 10.1016/J.JDE.2008.01.017
description: scientific article; zbMATH DE number 5382300