Gradient estimates for a class of parabolic systems

摘要

We establish local Calderon-Zygmund-type estimates for a class of parabolic problems whose model is the nonhomogeneous, degenerate/singular parabolic p-Laplacian system u(t) - div(Du(p-2)Du) = div(FFp-2), proving that F is an element of L-loc(q) double right arrow Du is an element of L-loc(q), for all q >= p. We also treat systems with discontinuous coefficients of vanishing mean oscillation (VMO) type.