Steklov Institute of Mathematics at St.Petersburg

PREPRINT 25/2005

SCHAUDER ESTIMATES FOR THE EVOLUTION GENERALIZED STOKES PROBLEM

This preprint was accepted December 27, 2005

ABSTRACT:

We prove coercive estimates in anisotropic H\"older spaces
of the solution of the Cauchy--Dirichlet problem for the
system of generalized Stokes equations arising in the
linearization of equations of the motion of a non-Newtonian
liquid.