MMN-4484

Note on blow up solutions for a general class of semilinear parabolic equations involving second order operator

Abdelhak Bousgheiri; Anass Ourraoui;

Abstract

This work deals with an initial-boundary value problem of Laplacian parabolic equation (h(u))t + △pu = f(u(x,t)),inΩ × (0,∞), u(x,t) = 0,on∂Ω × (0,∞), u(x0) = u0 ≥ 0, x ∈Ω¯, where Ω is a bounded domain in RN, N ≥ 1. Our contribution is to give a new condition on nonlinearity to obtain the blow-up solutions of the above equations.


Vol. 25 (2024), No. 1, pp. 165-171
DOI: https://doi.org/10.18514/MMN.2024.4484


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