Resumen de Optimal Regularity for One Dimensional Porous Medium Flow

D.G. Aronson, Luis A. Caffarelli

• We give a new proof of the Lipschitz continuity with respect to t of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal t-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.