A sharp condition for existence of an inertial manifold

DOI10.1007/BF01049741zbMath0727.34048OpenAlexW2018572229MaRDI QIDQ803368

Milan Miklavčič

Publication date: 1991

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01049741

zbMATH Keywords

Fourier transformperturbationnonlinearnonlinear hyperbolic equationsinertial manifoldslinear evolution equationsPlancherel's theoremexponentially attracting

Mathematics Subject Classification ID

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Cites Work

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• Invariant manifolds for flows in Banach spaces
• Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
• Geometric theory of semilinear parabolic equations
• Regularity of invariant manifolds
• Infinite-dimensional dynamical systems in mechanics and physics
• Unstable invariant sets of semigroups of non-linear operators and their perturbations
• Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions

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