Global solution of the critical Burgers equation in N Dimensions

In this paper, we first prove the local well-posedness of the fractional Burgers equations in N Dimensions. Combining the local well-posedness and the method of modulus of continuity, we show the global well-posedness of the N-D critical Burgers equation in critical Besov spaces Ḃp,1Np(RN) with p∈[N,∞).