Equi-attraction and continuity of attractors for skew-product semiflows

DOI10.3934/dcdsb.2016081zbMath1368.37022OpenAlexW2543303158MaRDI QIDQ727463

Henrique B. da Costa, Alexandre Nolasco De Carvalho, José Antonio Langa, Tomás Caraballo Garrido

Publication date: 7 December 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016081

zbMATH Keywords

skew-product semiflowcontinuity of attractorsequi-attraction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability of topological dynamical systems (37B25) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

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Cites Work

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• Attractors for infinite-dimensional non-autonomous dynamical systems
• Lower semicontinuity of attractors of gradient systems and applications
• An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
• Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds
• Geometric theory of discrete nonautonomous dynamical systems
• On the continuity of pullback attractors for evolution processes
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Structure of attractors for skew product semiflows
• Existence of pullback attractors for pullback asymptotically compact processes
• A General Approximation Scheme for Attractors of Abstract Parabolic Problems
• Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations
• Lifting properties in skew-product flows with applications to differential equations
• PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
• EQUI-ATTRACTION AND THE CONTINUOUS DEPENDENCE OF PULLBACK ATTRACTORS ON PARAMETERS
• Morse Decomposition of Attractors for Non-autonomous Dynamical Systems
• Skew-product flows, finite extensions of minimal transformation groups and almost periodic differential equations
• Dynamics of evolutionary equations