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 $$u_t-|Du{|}^{\gamma }(\Delta u+(p-2){\Delta }_{\infty }^{N}u)=0,$$ which can be highly degenerate or singular. This class contains as special cases…