Interior pointwise $C^{1,\alpha}$ estimates for Stokes systems in divergence form
Analysis of PDEs
2023-04-10 v1
Abstract
Interior pointwise 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.
Cite
@article{arxiv.2304.03529,
title = {Interior pointwise $C^{1,\alpha}$ estimates for Stokes systems in divergence form},
author = {Rong Dong and Dongsheng Li},
journal= {arXiv preprint arXiv:2304.03529},
year = {2023}
}
Comments
21 pages