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

00925njm 22002777a 4500 dc Arrieta Algarra, José María author Pardo San Gil, Rosa María author Rodríguez Bernal, Aníbal author 2015-12-05 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. 0022-0396 10.1016/j.jde.2015.07.028 https://hdl.handle.net/20.500.14352/24339 http://www.sciencedirect.com/science/article/pii/S0022039615003939 http://www.sciencedirect.com Asymptotic behavior of degenerate logistic equations