Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix

Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix is proved in the paper. Only boundedness of this matrix is assumed in time variable. To prove the result, we apply the method of modified AA-caloric approximation assuming that the matrix AA is not the constant one but depends on the time variable tt.