Large time behaviour of solutions of a singular diffusion equation in Rn

Let A>0, n⩾2>q, n/20, in Rn×(0,∞), u(x,0)=u0(x) in Rn and ψ is the unique self-similar solution of the equation with initial value A|x|-q. Then the rescaled function v(x,t)=tq/(2-q)u(t1/(2-q)x,t) will converge uniformly on every compact subset of Rn to ψ(x,1) as t→∞.