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Wolff type potential estimates for stationary Stokes systems with Dini-BMO coefficients
Communications in Contemporary Mathematics ( IF 1.2 ) Pub Date : 2020-10-19 , DOI: 10.1142/s0219199720500649
Lingwei Ma 1 , Zhenqiu Zhang 2
Affiliation  

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.

中文翻译:

具有 Dini-BMO 系数的静止 Stokes 系统的 Wolff 型势估计

具有 Dini- 的静止 Stokes 系统的弱解对的逐点梯度估计系数是通过非齐次项的 Havin-Maz'ya-Wolff 型非线性势建立的。此外,我们在对系数没有额外规律性假设的情况下为弱解提出了逐点界。
更新日期:2020-10-19
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