A Hölder estimate for nonlinear parabolic systems of p-Laplacian type

We extend the Hölder regularity results for weak solutions of the p-Laplacian systems originally obtained by DiBenedetto to a larger class of right-hand side terms. By appropriately arranging two scale parameters on the sizes of a local parabolic cylinder and of the gradient of the solutions, we get the same Hölder exponent as in the scalar case. Our method can also recover the classical parabolic case p=2.