Partial linearization for noninvertible mappings

DOI10.1007/BF00991895zbMath0813.47075MaRDI QIDQ1338713

Barnabas M. Garay, Aulbach, Bernd

Publication date: 20 November 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

noninvertible mappingsnonlinear operatorsHartman-Grobman linearizationHartman-Grobman resultlocal conjugacyuniformly Lipschitzian derivative

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Initial value problems for linear higher-order PDEs (35G10) Derivatives of functions in infinite-dimensional spaces (46G05) Spectral theory; eigenvalue problems on manifolds (58C40) Higher-order parabolic equations (35K25)

Related Items (10)

Topological decoupling and linearization of nonautonomous evolution equations ⋮ Topological decoupling, linearization and perturbation on inhomogeneous time scales ⋮ Conjugacy of a discrete semidynamical system in a neighbourhood of the nontrivial invariant manifold ⋮ On discretizations of invariant foliations over inertial manifolds ⋮ The reduction principle for discrete dynamical and semidynamical systems in metric spaces ⋮ Linearizing the expanding part of noninvertible mappings ⋮ Bernd Aulbach—Obituary ⋮ The fundamental existence theorem on invariant fiber bundles ⋮ Conjugacy of Discrete Semidynamical Systems in the Neighbourhood of Invariant Manifold ⋮ Invariant foliations near normally hyperbolic invariant manifolds for semiflows

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