The boundary regularity of non-linear parabolic systems I
Verena Bögelein, Frank Duzaar, Giuseppe Mingione · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2009
This is the first part of a work aimed at establishing that for solutions to Cauchy–Dirichlet problems involving general non-linear systems of parabolic type, almost every parabolic boundary point is a Hölder continuity point for the spatial gradient of solutions. Here we develop the basic necessary and sufficient condition for establishing the regular nature of a boundary point.