  Let $n\ge 3$ and $\psi_{\lambda_0}$ be the radially symmetric solution of
$\Delta\log\psi+2\beta\psi+\beta x\cdot\nabla\psi=0$ in $R^n$,
$\psi(0)=\lambda_0$, for some constants $\lambda_0>0$, $\beta>0$. Suppose
$u_0\ge 0$ satisfies $u_0-\psi_{\lambda_0}\in L^1(R^n)$ and
$u_0(x)\approx\frac{2(n-2)}{\beta}\frac{\log |x|}{|x|^2}$ as $|x|\to\infty$. We
prove that the rescaled solution $\widetilde{u}(x,t)=e^{2\beta t}u(e^{\beta
t}x,t)$ of the maximal global solution $u$ of the equation $u_t=\Delta\log u$
in $R^n\times (0,\infty)$, $u(x,0)=u_0(x)$ in $R^n$, converges uniformly on
every compact subset of $R^n$ and in $L^1(R^n)$ to $\psi_{\lambda_0}$ as
$t\to\infty$. Moreover $\|\widetilde{u}(\cdot,t)-\psi_{\lambda_0}\|_{L^1(R^n)}
\le e^{-(n-2)\beta t}\|u_0-\psi_{\lambda_0}\|_{L^1(R^n)}$ for all $t\ge 0$.
