On center manifolds

DOI10.1016/S0362-546X(97)82871-4zbMath0874.34047MaRDI QIDQ5284508

Herbert Koch

Publication date: 22 January 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Hartman-GrobmanHölder continuitycenter manifold

Mathematics Subject Classification ID

Topological dynamics (37B99) Nonlinear differential equations in abstract spaces (34G20) Invariant manifolds for ordinary differential equations (34C45) Partial differential equations (35-XX)

Related Items (2)

Invariant manifolds for the thin film equation ⋮ Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

Cites Work

• Invariant manifolds for flows in Banach spaces
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Inertial manifolds for nonlinear evolutionary equations
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• A Hartman-Grobman theorem for scalar reaction-diffusion equations
• Smooth invariant foliations in infinite dimensional spaces
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Alternative problems and invariant subspaces
• Center manifolds for quasilinear reaction-diffusion systems
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Invariant manifolds
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