Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients

Published 14 Apr 2019 in math.AP | (1904.06684v1)

Abstract: The pointwise gradient estimate for weak solution pairs to the stationary Stokes system with Dini-BMO coefficients is established via the Havin-Maz'ya-Wolff type nonlinear potential of the nonhomogeneous term. In addition, we present a pointwise bound for the weak solutions under no extra regularity assumption on the coefficients.

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