Stable estimates for source solution of critical fractal Burgers equation

In this paper, we provide two-sided estimates for the source solution of $d$-dimensional critical fractal Burgers equation $u_t-\Delta^{\alpha/2}+b\cdot \nabla\left(u|u|^q\right)=0$,$q=(\alpha-1)/d$,$\alpha\in(1,2)$,$b\in$\mathbb{R}$^d$,bythedensityfunctionoftheisotropic$\alpha$-stable process.