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Abstract We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p -Laplace type when 2nn+22nn+2p≤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.
Kim et al. (Fri,) studied this question.