Codice QDD 172 Titolo Weigthed fractional porous media equations: exixtende and uniqueness of weak solution with measure data Data 2014-01-31 Autore/i Grillo, G.; Muratori, M.; Punzo, F. Link Download full text Abstract We shall prove existence and uniqueness of solutions to a class of porous media equations driven by weighted fractional Laplacians when the initial data are positive finite measures on the Euclidean space R^d . In particular, Barenblatt-type solutions exist and are unique for the evolutions considered. The weight can be singular at the origin, and must have a sufficiently slow decay at infinity (power-like). Such kind of evolutions seems to have not been treated before even as concerns their linear, non-fractional analogues.