Robustness of time-dependent attractors in \(H^1\)-norm for nonlocal problems

DOI10.3934/dcdsb.2018140zbMath1415.35056OpenAlexW2785570443MaRDI QIDQ1671075

Marta Herrera-Cobos, Pedro Marín-Rubio, Tomás Caraballo Garrido

Publication date: 6 September 2018

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.2018140

zbMATH Keywords

pullback attractorsregularity of attractorsnon-autonomous nonlocal reaction-diffusion equationsupper semicontinuous behaviour

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (8)

Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations ⋮ Weak mean random attractors for non-local random and stochastic reaction–diffusion equations ⋮ Pullback attractors for non-Newtonian fluids with shear dependent viscosity ⋮ Pullback attractors with finite fractal dimension for a semilinear transfer equation with delay in some non-cylindrical domain ⋮ Existence and regularity of pullback attractors for a non-autonomous diffusion equation with delay and nonlocal diffusion in time-dependent spaces ⋮ Structure of the attractor for a non-local Chafee-Infante problem ⋮ Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary ⋮ Existence and characterization of attractors for a nonlocal reaction-diffusion equation with an energy functional

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