On the Kneser property for reaction-diffusion equations in some unbounded domains with an \(H^{ - 1}\)-valued non-autonomous forcing term

DOI10.1016/j.na.2011.11.007zbMath1237.35016OpenAlexW2086669912WikidataQ58377524 ScholiaQ58377524MaRDI QIDQ412740

Francisco Morillas, Valero, José, María Anguiano

Publication date: 4 May 2012

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.2011.11.007

zbMATH Keywords

unbounded domainglobal attractorreaction-diffusion systemKneser propertyset-valued dynamical system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Stability of topological dynamical systems (37B25) Reaction-diffusion equations (35K57) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items

Reaction-diffusion equations with non-autonomous force in \(H^{-1}\) and delays under measurability conditions on the driving delay term, Attractors for the semilinear reaction-diffusion equation with distribution derivatives, PULLBACK ATTRACTORS FOR A NONAUTONOMOUS INTEGRO-DIFFERENTIAL EQUATION WITH MEMORY IN SOME UNBOUNDED DOMAINS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors for nonautonomous parabolic equations without uniqueness
• Pullback attractors for non-autonomous 2D-Navier--Stokes equations in some unbounded domains
• On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems
• Non-autonomous and random attractors for delay random semilinear equations without uniqueness
• Non-autonomous attractors for integro-differential evolution equations
• On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion
• On the Kneser property for reaction-diffusion systems on unbounded domains
• On attractors of multivalued semi-flows and differential inclusions
• Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
• Pullback attractors for reaction-diffusion equations in some unbounded domains with an \(H^{-1}\)-valued non-autonomous forcing term and without uniqueness of solutions
• Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Kneser's property for a parabolic partial differential equation
• Kneser families in infinite-dimensional spaces