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Artículo
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
(American Institute of Mathematical Sciences, 2017-07)
We show existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation with infinite delay terms, analyzing the asymptotic behaviour in the pullback sense and obtaining global exponential decay ...
Artículo
Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains
(Sociedad Española de Matemática Aplicada, 2010)
The 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 ...