An abstract approach to smoothness of invariant manifolds

DOI10.1080/00036819308840170zbMath0736.35016OpenAlexW2039208552WikidataQ58283394 ScholiaQ58283394MaRDI QIDQ3363299

Krzysztof P. Rybakowski

Publication date: 1993

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819308840170

zbMATH Keywords

invariant manifoldsevolution equationsfixed-point theoremFréchet derivativesscale of Banach spaces

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ The Conley index along heteroclinic trajectories of reaction-diffusion equations ⋮ Persistent saddle connections in a class of reaction-diffusion equations ⋮ Center manifolds for smooth invariant manifolds ⋮ Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains

Cites Work

• Unnamed Item
• Invariant manifolds for flows in Banach spaces
• Invariant manifolds for Volterra integral equations of convolution type
• The singular limit dynamics of semilinear damped wave equations
• Semigroups of linear operators and applications to partial differential equations
• A reduction principle for nonautonomous systems in infinite-dimensional spaces
• Center manifolds and contractions on a scale of Banach spaces
• Geometric theory of semilinear parabolic equations
• Zentrumsmannigfaltigkeiten bei elliptischen Differentialgleichungen
• On the Application of Integral Manifolds to Hopf Bifureaction

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