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arXiv · 1211.3893

Campanato estimates for the generalized Stokes System

Lars Diening·Petr Kaplicky·Sebastian Schwarzacher
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Abstract

We study interior regularity of solutions of a generalized stationary Stokes problem in the plane. The main, elliptic part of the problem is given in the form div(A(Du)), where D is the symmetric part of the gradient. The model case is A(Du)=(kappa+|Du|)^{p-2}Du. We show optimal BMO and Campanato estimates for A(Du). Some corollaries for the generalized stationary Navier-Stokes system and for its evolutionary variant are also mentioned.

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Lars Diening, Petr Kaplicky, Sebastian Schwarzacher. 2012-11-16. Campanato estimates for the generalized Stokes System. https://doi.org/10.1007/s10231-013-0355-5

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