Nonstationary Stokes equations in a half-space with continuous initial data

The paper is devoted to nonstationary Stokes equations in a half-space. The existence and uniqueness of a solution are proved in spaces of bounded or continuous functions. Estimates of solutions are given in the uniform norm and in the norms of Hölder spaces. Bibliography: 17 titles.__________Published in Zapiski Nauchnykh Seminarov POMI, Vol. 295, 2003, pp. 118–167.