Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems

DOI10.1016/j.jde.2007.03.028zbMath1137.35009OpenAlexW2119973259MaRDI QIDQ996961

James C. Robinson, Alejandro Vidal-López, Aníbal Rodgriguez-Bernal

Publication date: 19 July 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.03.028

zbMATH Keywords

reaction-diffusion equationevolution operatorexponentially stablenon-autonomous logistic equationextremal complete trajectoriesPullback attractors

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57)

Related Items (16)

Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity ⋮ Asymptotic behaviour of the nonautonomous SIR equations with diffusion ⋮ A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities ⋮ Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force ⋮ Global existence for vector valued fractional reaction-diffusion equations ⋮ Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term ⋮ A weak comparison principle for reaction-diffusion systems ⋮ Attractors for non-autonomous parabolic problems with singular initial data ⋮ Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition ⋮ On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method ⋮ Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations ⋮ Solvability and long time behavior of nonlinear reaction-diffusion equations with Robin boundary condition ⋮ Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains ⋮ Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays ⋮ Random recurrent neural networks with delays ⋮ Asymptotic Behavior of the Non-Autonomous Reaction-Diffusion Equation with Robin Boundary Condition

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