An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation

Anguiano Moreno, MaríaCaraballo Garrido, TomásReal Anguas, José2015-04-082015-04-0820010165-0114http://hdl.handle.net/11441/23640Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under additional assumptions, an exponential growth condition in H2 for the pullback attractor of the non-autonomous reaction-diffusion equation is also deduced.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0reaction-diffusion equationsnon-autonomous (pullback) attractorsinvariant setsH2-exponential growthAn exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.na.2009.07.027