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

Bousgheiri, Abdelhak and Ourraoui, Anass (2024) Note on blow up solutions for a general class of semilinear parabolic equations involving second order operator. Miskolc Mathematical Notes, 25 (1). pp. 165-171. ISSN 1787-2413

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Abstract

This work deals with an initial-boundary value problem of Laplacian parabolic equation (h(u))_t + △pu = f(u(x, t)), in Ω × (0, ∞), u(x, t) = 0, on ∂Ω × (0, ∞), u(x_0) = u_0 ≥ 0, x ∈Ω¯, where Ω is a bounded domain in R^N, N ≥ 1. Our contribution is to give a new condition on nonlinearity to obtain the blow-up solutions of the above equations.

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