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

作者：Misawa Masashi^*

来源：Journal of Differential Equations, 2013, 254(2): 847-878.

DOI：10.1016/j.jde.2012.10.001

We extend the Wilder 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 Holder exponent as in the scalar case. Our method can also recover the classical parabolic case p = 2.

• 出版日期2013-1-15