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We establish local Calderón-Zygmund-type estimates for a class of parabolic problems whose model is the nonhomogeneous, degenerate/singular parabolic p-Laplacian system ut-div(|Du|p-2Du)=div(|F|p-2F), proving that F∈Llocq⇒Du∈Lqloc, ∀ q≥p. We also treat systems with discontinuous coefficients of vanishing mean oscillation (VMO) type
Acerbi et al. (2006) studied this question.