  Let $u$ be the solution of $u_t=\Delta\log u$ in $\R^N\times (0,T)$, N=3 or
$N\ge 5$, with initial value $u_0$ satisfying $B_{k_1}(x,0)\le u_0\le
B_{k_2}(x,0)$ for some constants $k_1>k_2>0$ where $B_k(x,t)
=2(N-2)(T-t)_+^{N/(N-2)}/(k+(T-t)_+^{2/(N-2)}|x|^2)$ is the Barenblatt solution
for the equation. We prove that the rescaled function
$\4{u}(x,s)=(T-t)^{-N/(N-2)}u(x/(T-t)^{-1/(N-2)},t)$, $s=-\log (T-t)$,
converges uniformly on $\R^N$ to the rescaled Barenblatt solution
$\4{B}_{k_0}(x)=2(N-2)/(k_0+|x|^2)$ for some $k_0>0$ as $s\to\infty$. We also
obtain convergence of the rescaled solution $\4{u}(x,s)$ as $s\to\infty$ when
the initial data satisfies $0\le u_0(x)\le B_{k_0}(x,0)$ in $\R^N$ and
$|u_0(x)-B_{k_0}(x,0)|\le f(|x|)\in L^1(\R^N)$ for some constant $k_0>0$ and
some radially symmetric function $f$.
