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- W2910254947 abstract "In this paper, we consider the following discrete p-Laplacian nonlinear parabolic equations with q-nonlocal reaction{ut(x,t)=Δp,ωu(x,t)+λ∑y∈S|u(y,t)|q−1u(y,t),(x,t)∈S×(0,∞),u(x,t)=0,(x,t)∈∂S×(0,∞),u(x,0)=u0≥0,x∈S‾. Here, S is a network with boundary ∂S. The goal of this paper is to characterize completely the parameters p>1 and q>0 to see when the solution blows up, vanishes, or exists globally. Indeed, the blow-up rates for the blow-up solutions are derived." @default.
- W2910254947 created "2019-01-25" @default.
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- W2910254947 date "2019-05-01" @default.
- W2910254947 modified "2023-10-16" @default.
- W2910254947 title "A complete characterization of the discrete p-Laplacian parabolic equations with q-nonlocal reaction with respect to the blow-up property" @default.
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- W2910254947 doi "https://doi.org/10.1016/j.jmaa.2019.01.031" @default.
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