Abstract

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 A-caloric approximation assuming that the matrix A is not the constant one but depends on the time variable t.

MSC 35K55

Keywords Quasilinear parabolic systems; Nonsmooth in time nonlinearities; Regularity; Morrey; VMO spaces