Alternative probabilistic representations of Barenblatt-type solutions

Alessandro De Gregorio, Roberto Garra

A general class of probability density functions \[u(x,t)=Ct^{-αd}\left (1-\left (\frac{\|x\|}{ct^α}\right )^β\right )_+^γ,\quad x\in \mathbb{R}^d,t>0,\] is considered, containing…