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arXiv · 1904.06684

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

Lingwei Ma·Zhenqiu Zhang
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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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Lingwei Ma, Zhenqiu Zhang. 2019-04-14. Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients. https://arxiv.org/abs/1904.06684

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