Recent Results on Selfsimilar Solutions of Degenerate Nonlinear Diffusion Equations

this paper we restrict ourselves to m ? 1. This solution, which is in fact due to Zel'dovich and Kompanyeets [ZK], initiated the development of an extensive theory for equation (1.1) and its generalizations. Without going into to any detail, let us recall that [A]: the Cauchy problem for nonnegative integrable initial data is wellposed; the intermediate asymptotics of (weak) solutions are given by (1.11) with C determined b