On the slip with linear friction boundary conditions for the Navier-Stokes equations Luigi C. Berselli, Dept. of Applied Math. University of Pisa, Via Bonanno 25/b, I-56126 Pisa, ITALY. We consider the Navier-Stokes equation with linear friction boundary conditions and oscillating inflow. We prove existence of weak solutions for rather general boundary data, by resorting to suitable energy type estimates.