RT Journal Article
T1 Asymptotic behavior of degenerate logistic equations
A1 Arrieta Algarra, José María
A1 Pardo San Gil, Rosa María
A1 Rodríguez Bernal, Aníbal
AB We analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type lambda u - n(x)u(rho). An important characteristic of this work is that the region where the logistic term n(.) vanishes, that is K-0 ={x : n(x) = 0}, may be non-smooth. We analyze conditions on lambda, rho, n(.) and K-0 guaranteeing that the solution starting at a positive initial condition remains bounded or blows up as time goes to infinity. The asymptotic behavior may not be the same in different parts of K-0.
PB Elsevier
SN 0022-0396
YR 2015
FD 2015-12-05
LK https://hdl.handle.net/20.500.14352/24339
UL https://hdl.handle.net/20.500.14352/24339
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Ayuda UCM-BSCH a Grupos de Investigacion: Grupo de Investigacion CADEDIF
DS Docta Complutense
RD 8 abr 2025