• Well-posedness for the Navier-Stokes equations (joint with Herbert Koch) It has been known for some time that for initial data which is small in appropriate spaces ( for instance $L^n$ ) the incompressible Navier-Stokes equations have a unique global solution. Here we consider the endpoint case and prove global existence and uniqueness for initial data which is small in $BMO^{-1}$. Availlable in dvi-letter , ps-letter format.

To appear, Advances in Math.