Hölder estimate for the solution of degenerate parabolic equations (Q1100626)

Consider the degenerate parabolic equations of the type \[ u_ t=div A(x,t,u,Du)+b(x,t,u,Du), \] which is of the same nature as \[ u_ t=div| Du|^ p Du+| Du|^{p+2}\quad (p>2). \] This paper is to study the \(C^{1+\alpha,(1+\alpha)/2}\) Hölder continuity of a class of degenerate parabolic equations and the existence and uniqueness of the initial boundary value problem.