RT Journal Article
T1 Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
A1 Arrieta Algarra, José María
A1 Cholewa, Jan W.
A1 Dlotko, Tomasz
A1 Rodríguez Bernal, Aníbal
AB In this paper we give general and flexible conditions for a reaction diffusion equation to be dissipative in an-unbounded domain. The functional setting is based on standard Lebesgue and Sobolev-Lebesgue spaces. We show how the reaction and diffusion mechanisms have to work together to obtain the asymptotic compactness of solutions and therefore the existence of the compact attractor. In particular cases, our results allow us to improve some previous known results.
PB Elsevier
SN 0362-546X
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50335
UL https://hdl.handle.net/20.500.14352/50335
LA eng
NO DGES (Spain)
NO KNB (Poland)
DS Docta Complutense
RD 10 abr 2025