On the second order regularity of solutions to the parabolic $p$-Laplace equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

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(|Du|^{\frac{p-2+…