Asymptotic Behaviour of the Porous Mediaequation In


We study the asymptotic behaviour of weak solutions u(x; t) to the porous media equation in exterior domains with nontrivial boundary data which are constant in time. We prove that, when the space dimension is greater than one, this behaviour is given in the interior of the positivity set by a function, P(x), which has the same value as u in the xed… (More)