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The time-periodic Stokes problem in a half-space with fully inhomogeneousright-hand side is investigated. Maximal regularity in a time-periodic Lpsetting is established. A method based on Fourier multipliers is employed thatleads to a decomposition of the solution into a steady-state and a purelyoscillatory part in order to identify the optimal function spaces.

Time-periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half-space