脱化抛物型方程广义解梯度的Hlder连续性

The Hlder Continuity of the Gradient Demonstrated by the Generalized Solutions of Degenerate Parabolic Equations

本文给出下面的脱化抛物型方程(1)的广义解的空间梯度▽u 的局部 Hlder 连续性的一个证明.

The genealized solutions of degenerate parabolic equations demonstrate a spatial gradient ▽u.This paper gives a proof to the Holder continuity of this gradient.