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LlogL-Integrability of the Velocity Gradient for Stokes System with Drifts in L(BMO1)


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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

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