Gradient Regularity for a Class of Widely Degenerate Parabolic Systems
Verena Bögelein, Frank Duzaar, Raffaella Giova, Antonia Passarelli di Napoli · SIAM Journal on Mathematical Analysis · 2024
Abstract. In this paper we study the [Formula: see text] regularity of the weak solutions to the widely degenerate parabolic system [Formula: see text] where [Formula: see text], [Formula: see text] is a parabolic cylinder with a bounded domain [Formula: see text], and [Formula: see text]. For the weak solutions [Formula: see text] with [Formula: see text], we prove that [Formula: see text] is continuous in [Formula: see text] for any continuous function [Formula: see text] vanishing on the set [Formula: see text].