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- W2068563774 abstract "The aim of this paper is to study the asymptotic behavior of solutions of a degenerate Fisher–KPP equation ut=uxx+up(1−u)(p>0) in the domain {(t,x)∈R2:t≥0,x∈[g(t),h(t)]}, where g(t) and h(t) are two free boundaries. For p>1 we obtain trichotomy result: spreading ([g(t),h(t)]→R and u(t,⋅)→1 locally uniformly in R), vanishing (h(t)−g(t)<∞ and u(t,⋅)→0 uniformly in [g(t),h(t)]), and virtual vanishing ([g(t),h(t)]→R and u(t,⋅)→0 uniformly in [g(t),h(t)]). For 0<p<1 we deduce that spreading can only happen, that is, 1 is the global attractor for all positive solutions. When spreading happens, we prove that the asymptotic spreading speed is continuous and strictly decreasing in p." @default.
- W2068563774 created "2016-06-24" @default.
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- W2068563774 date "2015-08-01" @default.
- W2068563774 modified "2023-10-17" @default.
- W2068563774 title "Asymptotic behavior of solutions of a degenerate Fisher–KPP equation with free boundaries" @default.
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- W2068563774 doi "https://doi.org/10.1016/j.nonrwa.2015.01.007" @default.
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