STOKES AND NAVIER-STOKES EQUATIONS WITH PERFECT SLIP ON WEDGE TYPE DOMAINS

Well-posedness of the Stokes and Navier-Stokes equations subject to perfect slip boundary conditions on wedge type domains is studied. Applying the operator sum method we derive an H-infinity-calculus for the Stokes operator in weighted L-gamma(p) spaces (Kondrat'ev spaces) which yields maximal regularity for the linear Stokes system. This in turn implies mild well-posedness for the Navier-Stokes equations, locally-in-time for arbitrary and globally-in-time for small data in L-p.