LlogL-Integrability of the Velocity Gradient for Stokes System with Drifts in L∞(BMO−1)
- Authors: Burczak J.1,2, Seregin G.2,3
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Affiliations:
- Institute of Mathematics
- University of Oxford
- St.Petersburg Department of Steklov Mathematical Institute
- Issue: Vol 236, No 4 (2019)
- Pages: 399-412
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242236
- DOI: https://doi.org/10.1007/s10958-018-4120-6
- ID: 242236
Cite item
Abstract
For any weak solution of the Stokes system with drifts in L∞(BMO−1), a reverse Hölder inequality and LlogL-higher integrability of the velocity gradients are proved.
About the authors
J. Burczak
Institute of Mathematics; University of Oxford
Author for correspondence.
Email: jb@impan.pl
Poland, Warsaw; Oxford
G. Seregin
University of Oxford; St.Petersburg Department of Steklov Mathematical Institute
Email: jb@impan.pl
United Kingdom, Oxford; St.Petersburg