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

Partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix in the interior of space–time cylinder QQ was proved in Arkhipova et al. (2014). In this paper we extend the results up to the parabolic boundary ∂pQ∂pQ. The coefficients of the system are assumed to be only bounded and measurable in the time variable. To prove the result, we apply the method of modified boundary A(t)-caloric approximation.