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- W1105410003 abstract "We analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type λu−n(x)uρ. An important characteristic of this work is that the region where the logistic term n(⋅) vanishes, that is K0={x:n(x)=0}, may be non-smooth. We analyze conditions on λ, ρ, n(⋅) and K0 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 K0." @default.
- W1105410003 created "2016-06-24" @default.
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- W1105410003 date "2015-12-01" @default.
- W1105410003 modified "2023-10-18" @default.
- W1105410003 title "Asymptotic behavior of degenerate logistic equations" @default.
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- W1105410003 doi "https://doi.org/10.1016/j.jde.2015.07.028" @default.
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