Lp-theory for the Stokes system in 3D domains with conical boundary points

This article deals with the Stokes system in 3D interior and exterior domains with conical boundary points. Solutions verifying a Dirichlet or a no-slip boundary condition are shown to exist in suitable L-p-spaces. By means of the boundary potential method, this L-P-theory is reduced to the Fredholm properties of certain integral operators involving singular integrals on the boundary of the respective domains.