This talk addresses the broadcast channel where some receivers have perfect channel state information (static users) and some have none (dynamic users). The transmitter does not know any of the channels. For the two-user case (one static and one dynamic user) it is known that a product superposition can provide degrees of freedom strictly better than time-sharing, and in fact part of the DoF region coincides with the non-coherent single-user bound. This talk outlines some progress on this problem in the K-user case.