Campanato estimates for the generalized Stokes System
Diening, Lars
Diening
Lars
Kaplicky, Petr
Kaplicky
Petr
Schwarzacher, Sebastian
Schwarzacher
Sebastian
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.
193
6
1779-1794
1779-1794
Springer
2014