2016-07-212016-07-212010Anguiano Moreno, M. (2010). Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains. Boletín de la Sociedad Española de Matemática Aplicada, 51, 9-16.1575-9822http://hdl.handle.net/11441/43841The existence of a pullback attractor in L2(Ω) for the following nonautonomous reaction-di usion equation ∂u ∂t − △u = f(u) + h(t), in Ω × (τ, +∞), u = 0, on ∂Ω × (τ, +∞), u(x, τ ) = uτ (x), x ∈ Ω, is proved in this paper, when the domain Ω is not necessarily bounded but satisfying the Poincaré inequality, and h ∈ L2 loc(R; H−1(Ω)). The main concept used in the proof is the asymptotic compactness of the process generated by the problem.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Pullback attractorAsymptotic compactnessEvolution processNon-autonomous reaction-diffusion equationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess