Gradient higher integrability for singular parabolic double-phase systems

We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p -Laplace type when 2n/n+2< p≤ 2 2nn+2<p≤2 . The result is based on a reverse Hölder inequality in intrinsic cylinders combining p -intrinsic and ( p , q )-intrinsic geometries. A singular scaling deficits affects the range of q .