On sequences of 𝐶^{𝑘,𝛿}_{𝑏} maps which converge in the uniform 𝐶⁰-norm

DOI10.1090/S0002-9939-00-05640-9zbMath0947.37016OpenAlexW1618249288MaRDI QIDQ4505880

Mohamed Sami ElBialy

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05640-9

zbMATH Keywords

linearizationinvariant manifoldsHenry's lemma

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Stability theory for smooth dynamical systems (37C75)

Related Items (10)

Smooth center manifolds for nonuniformly partially hyperbolic trajectories ⋮ Smooth stable invariant manifolds and arbitrary growth rates ⋮ Smooth inertial manifolds for neutral differential equations with small delays ⋮ Center manifolds for impulsive equations under nonuniform hyperbolicity ⋮ Center manifolds and optimal estimates ⋮ Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy ⋮ Stable manifolds for nonuniform polynomial dichotomies ⋮ Center manifolds for infinite delay ⋮ Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity ⋮ Center manifolds for nonuniformly partially hyperbolic diffeomorphisms

Cites Work

• Geometric theory of semilinear parabolic equations
• Nonlinear problems in the physical sciences and biology. Proceedings of a Battelle Summer Institute, Seattle, July 3-28, 1972
• C^k centre unstable manifolds
• Sub-stable and weak-stable manifolds associated with finitely non-resonant spectral subspaces

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