English

$LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$

Analysis of PDEs 2017-07-10 v1

Abstract

For any weak solution of the Stokes system with drifts in L(BMO1)L_\infty (BMO^{-1}), we prove a reverse H\"older inequality and LlogLLlogL-higher integrability of the velocity gradients.

Keywords

Cite

@article{arxiv.1707.01986,
  title  = {$LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$},
  author = {Jan Burczak and Gregory Seregin},
  journal= {arXiv preprint arXiv:1707.01986},
  year   = {2017}
}