LqLq-estimates for the stationary Oseen equations on exterior domains

We study the Dirichlet problem for the stationary Oseen equations on exterior smooth domains Ω   in RnRn, n≥2n≥2. Our main results are the existence and uniqueness of weak and very weak solutions of the Oseen equations satisfying appropriate LqLq-estimates. The uniqueness of very weak solutions is shown by utilizing recent results for very weak solutions of the Stokes equations on bounded domains. Then for (n+1)/(n−1)