Abstract: | In this paper, we analyze the large time behavior of nonnegative solutions to the doubly nonlinear diffusion equation $$u_t−{rm div}(|∇u^m|^{p−2}∇u^m)=0$$ in $mathbb{R}^N$ with $p>1,$ $m>0$ and $m(p−1)−1>0.$ By using the finite propagation property and the $L^1-L^∞$ smoothing effect, we find that the complicated asymptotic behavior of the rescaled solutions $t^{mu/2}u(t^{β_·},t)$ for $0(2−mu[m(p−1)−1])/(2p)$ can take place. |