Global Mild Solutions of Navier-Stokes Equations

We establish a global well-posedness of mild solutions to the three-dimensional, incompressible Navier-Stokes equations if the initial data are in the space chi(-1) defined by chi(-1) = {f is an element of D' (R(3)) : integral R(3) vertical bar xi vertical bar(-1) vertical bar(f) over cap vertical bar d xi < infinity and if the norms of the initial data in chi(-1) are bounded exactly by the viscosity coefficient mu. (C) 2011 Wiley Periodicals, Inc.