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

Rodríguez Bernal, AníbalVidal López, AlejandroLanga, J.A.Robinson, James C.Suárez, A.2023-06-202023-06-2020071553-5231https://hdl.handle.net/20.500.14352/49698The 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.engExistence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations.journal articlehttp://www.aimsciences.org/journals/dcdsA/online.jspopen access517.9Unbounded forwards attractorNon-autonomous reaction diffusion equations.Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias