Codice  QDD 176 
Titolo  On the Asymptotic Behaviour of Solutions to the Fractional Porous Medium Equation with Variable Density 
Data  20140421 
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 infinity, then the solution approaches the Barenblatttype solution of a proper singular fractional problem. If, on the contrary, the density decays rapidly at infinity, 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. 
