English

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

Analysis of PDEs 2019-04-16 v1

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.

Cite

@article{arxiv.1904.06684,
  title  = {Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients},
  author = {Lingwei Ma and Zhenqiu Zhang},
  journal= {arXiv preprint arXiv:1904.06684},
  year   = {2019}
}

Comments

19 pages

R2 v1 2026-06-23T08:38:58.347Z