%0 Journal Article %A Rodríguez Bernal, Aníbal %A Vidal López, Alejandro %A Langa, J.A. %A Robinson, James C. %A Suárez, A. %T Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. %D 2007 %@ 1553-5231 %U https://hdl.handle.net/20.500.14352/49698 %X The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − _u = _u − b(t)up, with p > 1, b(t) > 0, for all t 2 R, limt!1 b(t) = 0. While the pullback asymptotic behaviour for this equation is now well understood, several different possibilities are realised in the forward asymptotic regime. %~