Linearization of class C1 for contractions on Banach Spaces

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/2824

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Munhoz Rodrigues, Hildebrando
dc.contributor.author	Solà-Morales Rubió, Joan de
dc.date	2003
dc.identifier.uri	http://hdl.handle.net/2117/2824
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Generic
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Differentiable dynamical systems
dc.subject	Functions of real variables
dc.subject	Linearization
dc.subject	Conjugacy
dc.subject	Damped wave equation
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Funcions de variables reals
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems
dc.subject	Classificació AMS::26 Real functions::26E Miscellaneous topics
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.subject	Classificació AMS::46 Associative rings and algebras::46T Nonlinear functional analysis
dc.subject	Classificació AMS::47 Operator theory::47J Equations and inequalities involving nonlinear operators
dc.subject	Classificació AMS::58 Global analysis, analysis on manifolds::58C Calculus on manifolds; nonlinear operators
dc.title	Linearization of class C1 for contractions on Banach Spaces
dc.type	info:eu-repo/semantics/report
dc.description.abstract	In this work we prove a C1-linearization result for contraction diffeomorphisms, near a fixed point, valid in infinite dimensional Banach spaces. As an intermediate step, we prove a specific result of existence of invariant manifolds, which can be interesting by itself and that was needed on the proof of our main theorem. Our results essentially generalize some classical results by P. Hartman in finite dimensions, and a result of X. Mora-J. Sola-Morales in the infinite dimensional case. It is shown that the result can be applied to some abstract systems of semilinear damped wave equations.

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