Second order Sobolev regularity results for the generalized $p$-parabolic equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

We study a general class of parabolic equations $$u_t-|Du{|}^3(\hat{I}”u+(p-2)\hat{I}{”}_{\infty }^{N}u)=0,$$ which can be highly degenerate or singular. This class contains as special cas…