The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems
type: Item
instance of: scholarly article
title: The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems
zbMATH Open document ID: 0544.34039
DOI: 10.1016/0022-0396(83)90078-5
author: Jack Carr
author: Robert G. Muncaster
published in: Journal of Differential Equations
publication date: 1983-01-01T00:00:00Z
review text: [For part I see the paper reviewed above.] For a class of infinite dimensional systems some basic facts of center manifold theory are described where the emphasis is put on the practical computational aspects, particularly on the approximation of center manifolds. The calculations are illustrated by detailed analyses of two specific problems, a semilinear wave equations and a semilinear parabolic system.
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 34C30
zbMATH DE Number: 3865749
zbMATH Keywords: infinite dimensional systems
zbMATH Keywords: center manifold
zbMATH Keywords: computational aspects
zbMATH Keywords: semilinear wave equations
zbMATH Keywords: semilinear parabolic system
reviewed by: Bernd Aulbach
MaRDI profile type: Publication
full work available at URL: 0022-0396(83)90078-5
OpenAlex ID: W2017465892
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description: scientific article; zbMATH DE number 3865749