Partial regularity for solutions of quasilinear parabolic systems with non smooth in time principle matrix

Abstract

We prove partial regularity of solutions of quasilinear parabolic systems with non smooth in time principal matrix is proved assuming only boundedness and measurability in time variable. In spave variables the coefficients are uniformly in Sarason space of functions with vanishing mean oscillation The proof is based on modified A- caloric lemma.

Keywords

• Partial regularity
• solutions of quasilinear parabolic systems
• non smooth in time principle matrix