On the blow-up of a non-local parabolic problem (Q2371084)

We investigate the conditions under which the solution of an initial-boundary value problem of the non-local equation \(u_t=\Delta u+\lambda f(u)/(\int_\Omega f(u)\,dx)^p\), where \(\Omega\) is a bounded domain of \(\mathbb R^N\) and \(f(u)\) is a positive, increasing, convex function, performs blow-up.