Solvability of the stationary Stokes system in spaces $H_{-\mu }^2$, $\mu \in (0,1)$
Volume 37 / 2010
Applicationes Mathematicae 37 (2010), 13-38
MSC: 35Q35, 35J99, 76D07.
DOI: 10.4064/am37-1-2
Abstract
We consider the stationary Stokes system with slip boundary conditions in a bounded domain. Assuming that data functions belong to weighted Sobolev spaces with weights equal to some power of the distance to some distinguished axis, we prove the existence of solutions to the problem in appropriate weighted Sobolev spaces.
