\(H^{2}\)-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation

DOI10.1016/j.na.2009.07.027zbMath1180.35117OpenAlexW2031251496WikidataQ58377534 ScholiaQ58377534MaRDI QIDQ1049048

José Real, María Anguiano, Tomás Caraballo Garrido

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.027

zbMATH Keywords

invariant sets\(H^{2}\)-regularity

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (13)

Pullback attractors for non-autonomous reaction-diffusion equation in non-cylindrical domains ⋮ Pullback attractors for strong solutions of 2d non-autonomous \(g\)-Navier-Stokes equations ⋮ Regularity and exponential growth of pullback attractors for semilinear parabolic equations involving the Grushin operator ⋮ \(H^2\)-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion ⋮ Higher-order asymptotic attraction of pullback attractors for a reaction-diffusion equation in non-cylindrical domains ⋮ REGULARITY AND FRACTAL DIMENSION OF PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION ⋮ An exponential growth condition in \(H^{2}\) for the pullback attractor of a non-autonomous reaction-diffusion equation ⋮ On the dynamics of nonautonomous parabolic systems involving the Grushin operators ⋮ Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\) ⋮ \(H^2\)-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains ⋮ Asymptotic behaviour of nonlocal reaction-diffusion equations ⋮ Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions ⋮ Higher-order integrability for a semilinear reaction-diffusion equation with distribution derivatives in \(\mathbb R^N\)

Cites Work

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• Pullback attractors for non-autonomous 2D-Navier--Stokes equations in some unbounded domains
• Pullback attractors of nonautonomous reaction-diffusion equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction-diffusion equations
• Attractors of non-autonomous reaction-diffusion equations in \(L^p\)
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• On the existence of pullback attractors for non-autonomous reaction–diffusion equations
• PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS

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