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• W2079581337 abstract "The purpose of this paper is to study the limit in L1(Ω) of solutions of general initial-boundary-value problems of the form ut=Δw−g(x,u) and u∈β(w) in a bounded domain Ω with general boundary conditions of the form ∂ηw+γ(w)∋0, where β and γ are maximal monotone graphs and g:Ω×R→R is a nonincreasing continuous function in r∈R. We prove that a solution stabilizes in L1(Ω) as t→∞ to a function ū∈L1(Ω) which satisfies ū(x)∈ϕ−1(c)∩g(x,.)−1(0) a.e. x∈Ω, with c∈γ−1(0). So, if for instance γ−1(0)=ϕ−1(0)∩g(x,.)−1(0)={0}, then a solution stabilizes by converging to 0, in L1(Ω), as t→∞." @default.
• W2079581337 created "2016-06-24" @default.
• W2079581337 creator A5081569470 @default.
• W2079581337 date "2003-07-01" @default.
• W2079581337 modified "2023-10-02" @default.
• W2079581337 title "Stabilization for degenerate diffusion with absorption" @default.
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• W2079581337 doi "https://doi.org/10.1016/s0362-546x(03)00056-7" @default.
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