Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with Hölder continuous derivatives with respect to spatial variables

It is known that the solutions of parabolic initial boundary-value problems can be estimates in the Hölder norms with respect to the spatial variables for any fixed positive value of time in terms of similar norms of the data. We obtain estimate of this type for the solutions on nonstationary Stokes equations with stresses prescribed on the boundary.