Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces

We consider the generalized Burgers equation in a class of Gevrey functions Gσ,δ,s(T). We show that the generalized Burgers equation is well-posed in this space. Furthermore, we show that the solution is Gevrey-σ in the spacial variable and Gevrey-2σ in the time variable.