Regularity of invariant manifolds

DOI10.1007/BF01049735zbMath0739.34037MaRDI QIDQ1176690

Ignác Tereščák, Pavol Brunovský

Publication date: 25 June 1992

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

zbMATH Keywords

inertial manifoldunbounded linear operator\(C^ r\) semiflowlocal invariant \(C^ r\) manifoldscalar reaction-diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Linear differential equations in abstract spaces (34G10) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

A sharp condition for existence of an inertial manifold, A permutation related to non-compact global attractors for slowly non-dissipative systems

Cites Work

• Invariant manifolds for flows in Banach spaces
• Spectral barriers and inertial manifolds for dissipative partial differential equations
• Inertial manifolds for nonlinear evolutionary equations
• Geometric theory of semilinear parabolic equations
• Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
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