Codice QDD 176 Titolo On the Asymptotic Behaviour of Solutions to the Fractional Porous Medium Equation with Variable Density Data 2014-04-21 Autore/i Grillo, G.; Muratori, M.; Punzo, F. Link Download full text Abstract We are concerned with the long time behaviour of solutions to the fractional porous medium equation with a variable density. We prove that if the density decays slowly at infinity, then the solution approaches the Barenblatt-type solution of a proper singular fractional problem. If, on the contrary, the density decays rapidly at infinity, we show that the minimal solution multiplied by a suitable power of the time variable converges to the minimal solution of a certain fractional sublinear elliptic equation.