Abstract
In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(left| Duright| ^{frac{p-2+s}{2}}Du) exists as a function and belongs to L^{2}_{text {loc}} with s>-1 and 1<p<infty . The range of s is sharp.
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