Linearization of class \(C^{1}\) for contractions on Banach spaces
type: Item
instance of: scholarly article
title: Linearization of class \(C^{1}\) for contractions on Banach spaces
zbMATH Open document ID: 1058.37061
author: Hildebrando M. Rodrigues
author: J. Solà-Morales
published in: Journal of Differential Equations
publication date: 2004-08-10T00:00:00Z
review text: The goal of the authors is to obtain \(C^1\)-linearization results in infinite dimensions for contractions with as less as possible nonresonance conditions. The authors make a systematic use of the contraction principle in an appropriate Banach space and the invariant manifold theorem. Moreover, they present an application of their result to systems of abstract damped wave equations.
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 37C05
Mathematics Subject Classification ID: 37G05
Mathematics Subject Classification ID: 46T20
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 58C30
Mathematics Subject Classification ID: 26E15
zbMATH DE Number: 2085857
zbMATH Keywords: Linearization
zbMATH Keywords: Conjugacy
zbMATH Keywords: Damped wave equation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jde.2004.02.013
OpenAlex ID: W2137519343
cites work: Q4888791
cites work: Functional equations and conjugacy of local diffeomorphisms of a finite smoothness class
cites work: Q5658861
cites work: Q5334495
cites work: Q5330830
cites work: Q3917197
cites work: Q4260815
cites work: The nonlinear Schrödinger equation and the nonlinear heat equation reduction to linear form
cites work: Q3784536
cites work: On a Theorem of P. Hartman
cites work: \(a\)-Hölder linearization
cites work: The Hartman-Grobman theorem for reversible systems on Banach spaces
cites work: Q5183909
cites work: Smooth Linearization Near a Fixed Point
cites work: Local \(C^n\) transformations of the real line
cites work: Local Contractions and a Theorem of Poincare
cites work: Linearization in two dimensions
cites work: \(\sigma\)-Hölder continuous linearization near hyperbolic fixed points in \(\mathbb{R}^n\)
cites work: Local dynamics for high-order semilinear hyperbolic equations
DOI: 10.1016/J.JDE.2004.02.013
description: scientific article; zbMATH DE number 2085857