DeustoTeka Examinando por Autor "Abita, Rahmoune"

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Blow-up results for a class of p-Laplacian heat equations with logarithmic nonlinearity
(Babes-Bolyai University, 2026-09-07) Razik, Belhaoues; Biccari, Umberto ; Abita, Rahmoune
In this paper, we consider an initial-boundary value problem for the following mixed pseudo-parabolic p(.)-Laplacian type equation with logarithmic nonlinearity on a bounded and regular domain. By adapting the first-order differential inequality method, we establish a blow-up criterion for the solutions and obtain an upper bound for the blow-up time. Besides, we show that blow-up may be prevented under appropriate smallness conditions on the initial datum, in which case we also establish decay estimates in the H10(Ω)-norm as t → +∞. We also give a two-dimensional numerical example to confirm the validity of our theoretical results.