Partial regularity for subquadratic parabolic systems under controllable growth conditions

In this paper, we prove a regularity result for weak solutions away from singular set of parabolic systems with subquadratic growth condition of the type∂tu(z)−diva(z,u,Du)=B(z,u,Du)for z=(x,t), where the structure function a   satisfies standard ellipticity and growth condition with polynomial growth rate 2nn+2