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

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.