Regularity and finite dimensionality of attractor for plate equation on \(\mathbb R^n\)

DOI10.1007/s10483-010-1375-9zbMath1206.35163OpenAlexW1988618613MaRDI QIDQ618923

Hai-Bin Xiao

Publication date: 17 January 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1375-9

zbMATH Keywords

unbounded domainfractal dimensionality

Mathematics Subject Classification ID

Attractors (35B41) Plates (74K20) Initial value problems for higher-order hyperbolic equations (35L30) Equations in function spaces; evolution equations (58D25) Higher-order semilinear hyperbolic equations (35L76)

Related Items (1)

Robustness of global attractors of singularly perturbed plate equations

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics.
• Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain
• Asymptotic dynamics of plate equations with a critical exponent on unbounded domain
• Long-time behavior of second order evolution equations with nonlinear damping
• Dynamics of evolutionary equations

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