Dimension of a center manifold for semilinear parabolic equations

DOI10.1007/BF01057390zbMath0734.34037OpenAlexW2043888848MaRDI QIDQ810713

N. E. Zubov

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057390

zbMATH Keywords

reductionordinary differential equationcenter manifoldinvariant manifoldattractingparabolic evolution equation in a Hilbert space

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear differential equations in abstract spaces (34G10) Attractors of solutions to ordinary differential equations (34D45) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (1)

Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation

Cites Work

• Inertial manifolds for nonlinear evolutionary equations
• Geometric theory of semilinear parabolic equations
• Finite-dimensional attracting manifolds in reaction-diffusion equations
• Attractors of partial differential evolution equations and estimates of their dimension
• Bounds on Complexity in Reaction-Diffusion Systems
• Spectral and stabilized asymptotic behaviour of solutions of non-linear evolution equations
• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations

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