Exponential global attractors for semigroups in metric spaces with applications to differential equations

DOI10.1017/S0143385710000702zbMath1247.37084MaRDI QIDQ2884092

Jan W. Cholewa, Alexandre Nolasco De Carvalho

Publication date: 24 May 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

metric spacessemigroupsglobal attractorsevolution differential equationsdissipative properties

Mathematics Subject Classification ID

Attractors (35B41) Abstract parabolic equations (35K90) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) One-parameter semigroups and linear evolution equations (47D06) Equations in function spaces; evolution equations (58D25)

Related Items (3)

Robustness of exponentially \(\kappa\)-dissipative dynamical systems with perturbations ⋮ Lipschitz perturbations of Morse-Smale semigroups ⋮ Topological equivalence of global attractors for Lipschitz perturbations of the Chafee-Infante equation

Cites Work

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• Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
• Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds
• An extension of the concept of gradient semigroups which is stable under perturbation
• Dynamics in dumbbell domains. II: The limiting problem
• Contracting sets and dissipation
• Dynamics of evolutionary equations

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