A maximal regularity estimate for the non-stationary Stokes equation in the strip

In a d  -dimensional strip with d≥2d≥2, we study the non-stationary Stokes equation with no-slip boundary condition in the lower and upper plates and periodic boundary condition in the horizontal directions. In this paper we establish a new maximal regularity estimate in the real interpolation norm‖f‖(0,1)=inff=f0+f1⁡{〈sup0