Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix

Abstract

We extend the regularity results obtained earlier to the boundary case. This extension requires new version of the main component of the proof, i.e. so called boundary A(t) caloric lemma.

Keywords

• Quasilinear parabolic systems
• non-smooth in time coefficients
• regularity of solutions up to the boundary
• functions with vanishing mean oscillation