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dc.contributor.authorMunhoz Rodrigues, Hildebrando
dc.contributor.authorSolà-Morales Rubió, Joan de
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractIn 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.
dc.format.extent30 p.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Generic
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferentiable dynamical systems
dc.subject.lcshFunctions of real variables
dc.subject.otherDamped wave equation
dc.titleLinearization of class C1 for contractions on Banach Spaces
dc.typeExternal research report
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacFuncions de variables reals
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems
dc.subject.amsClassificació AMS::26 Real functions::26E Miscellaneous topics
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.subject.amsClassificació AMS::46 Associative rings and algebras::46T Nonlinear functional analysis
dc.subject.amsClassificació AMS::47 Operator theory::47J Equations and inequalities involving nonlinear operators
dc.subject.amsClassificació AMS::58 Global analysis, analysis on manifolds::58C Calculus on manifolds; nonlinear operators
dc.rights.accessOpen Access

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