RT Journal Article
T1 Extremal equilibria for reaction-diffusion equations in bounded domains and applications
A1 Rodríguez Bernal, Aníbal
A1 Vidal López, Alejandro
AB We show the existence of two special equilibria, the extremal ones, for a wide class of reaction–diffusion equations in bounded domains with several boundary conditions, including non-linear ones. They give bounds for the asymptotic dynamics and so for the attractor. Some results on the existence and/or uniqueness of positive solutions are also obtained. As a consequence, several well-known results on the existence and/or uniqueness of solutions for elliptic equations are revisited in a unified way obtaining, in addition, information on the dynamics of the associated parabolic problem. Finally, we ilustrate the use of the general results by applying them to the case of logistic equations. In fact, we obtain a detailed picture of the positive dynamics depending on the parameters appearing in the equation
PB Elsevier
SN 0022-0396
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/49703
UL https://hdl.handle.net/20.500.14352/49703
LA eng
NO DGES
DS Docta Complutense
RD 11 may 2025