CodiceQDD 176
TitoloOn the Asymptotic Behaviour of Solutions to the Fractional Porous Medium Equation with Variable Density
Autore/iGrillo, G.; Muratori, M.; Punzo, F.
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AbstractWe 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.