Navier-Stokes equation in super-critical spaces E-p,q(s)

摘要

In this paper we develop a new way to study the global existence and uniqueness for the Navier-Stokes equation (NS) and consider the initial data in a class of modulation spaces E-p(,q)s with exponentially decaying weights (s < 0, 1 < p, q < infinity) for which the norms are defined by