Bi-space global attractors for a class of nonclassical parabolic equations with arbitrary polynomial growth in unbounded domain

DOI10.1007/S00009-015-0617-0zbMath1346.35026OpenAlexW982168387MaRDI QIDQ305831

Jia-lin Li, Fang-hong Zhang

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0617-0

zbMATH Keywords

unbounded domainglobal attractorabsorbing setnonclassical diffusion equations

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35)

Cites Work

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• Analysis of the viscous Cahn-Hilliard equation in \(\mathbb R^N\)
• On the dynamics of a class of nonclassical parabolic equations
• Korteweg-de Vries-Burgers system in \(\mathbb R^N\)
• Attractors in \(L^2(\mathbb{R}^N)\) for a class of reaction-diffusion equations
• On the problem of diffusion in solids
• Poincaré's inequality and global solutions of a nonlinear parabolic equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Global attractors for damped semilinear wave equations.
• Decay of heat semigroups in \(L^\infty\) and applications to nonlinear parabolic problems in unbounded domains
• Attractors for reaction-diffusion equations in unbounded domains
• Attractors for a nonclassical diffusion equation
• Viscous Cahn-Hilliard equation. II: Analysis
• Pullback attractors for reaction-diffusion equations in some unbounded domains with an \(H^{-1}\)-valued non-autonomous forcing term and without uniqueness of solutions
• A remark on the damped wave equation
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains
• Global attractors for a nonclassical diffusion equation
• Existence and uniqueness in nonclassical diffusion
• Quasilinear Evolution Equations in Nonclassical Diffusion
• Products of Poincare Domains
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Pullback attractors in for non-autonomous nonclassical diffusion equations

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