Stable estimates for source solution of critical fractal Burgers equation

In this paper, we provide two-sided estimates for the source solution of dd-dimensional critical fractal Burgers equation ut−Δα/2+b⋅∇(u|u|q)=0ut−Δα/2+b⋅∇(u|u|q)=0, q=(α−1)/dq=(α−1)/d, α∈(1,2)α∈(1,2), b∈Rdb∈Rd, by the density function of the isotropic αα-stable process.