Campanato estimates for the generalized Stokes System
Analysis of PDEs
2014-01-29 v1
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.
Cite
@article{arxiv.1211.3893,
title = {Campanato estimates for the generalized Stokes System},
author = {Lars Diening and Petr Kaplicky and Sebastian Schwarzacher},
journal= {arXiv preprint arXiv:1211.3893},
year = {2014}
}