Interior pointwise $C^{1,\alpha}$ estimates for Stokes systems in divergence form

Rong Dong; Dongsheng Li

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arXiv · 2304.03529

Interior pointwise $C^{1,\alpha}$ estimates for Stokes systems in divergence form

Rong Dong·Dongsheng Li

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Abstract

Interior pointwise $C^{1,\alpha}$ estimates are established for Stokes systems in divergence form where no continuity in time variable is assumed for the coefficients and the given data. The estimates are attained by iteration and are presented by Campanato's characterization. The sharpness of the conclusions can be seen from Serrin's counterexample.

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Rong Dong, Dongsheng Li. 2023-04-07. Interior pointwise $C^{1,\alpha}$ estimates for Stokes systems in divergence form. https://arxiv.org/abs/2304.03529

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