Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations

DOI10.3934/dcds.2007.18.483zbMath1126.37008OpenAlexW2094183683MaRDI QIDQ2455014

Alejandro Vidal-López, James C. Robinson, José Antonio Langa, Aníbal Rodgriguez-Bernal, Antonio Suárez

Publication date: 22 October 2007

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

Full work available at URL: https://doi.org/10.3934/dcds.2007.18.483

zbMATH Keywords

unbounded forward attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Topological dynamics of nonautonomous systems (37B55)

Related Items (12)

Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing ⋮ Forwards dynamics of non-autonomous dynamical systems: driving semigroups without backwards uniqueness and structure of the attractor ⋮ Autonomous and non-autonomous unbounded attractors under perturbations ⋮ Existence and stability of pullback exponential attractors for a nonautonomous semilinear evolution equation of second order ⋮ Uniformly attracting solutions of nonautonomous differential equations ⋮ Uniform attractors for non-autonomous random dynamical systems ⋮ Approximate forward attractors of non-autonomous dynamical systems ⋮ Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems ⋮ On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method ⋮ Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations ⋮ Invariant forward attractors of non-autonomous random dynamical systems ⋮ An extension of the concept of gradient semigroups which is stable under perturbation

This page was built for publication: Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations