2026-06-08T12:40:18Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/243392024-09-30T15:54:58Zcom_20.500.14352_14col_20.500.14352_15

Asymptotic behavior of degenerate logistic equations Arrieta Algarra, José María Pardo San Gil, Rosa María Rodríguez Bernal, Aníbal 517.9 Logistic nonlinearity Asymptotic behavior Blow up Boundedness Non-smooth sets Fractal dimension Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias 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. Ministerio de Economía y Competitividad (MINECO) Ayuda UCM-BSCH a Grupos de Investigacion: Grupo de Investigacion CADEDIF Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T06:49:54Z 2023-06-18T06:49:54Z 2015-12-05 journal article https://hdl.handle.net/20.500.14352/24339 0022-0396 10.1016/j.jde.2015.07.028 eng MTM2012-31298 920894 restricted access application/pdf Elsevier