Maremonti, Paolo (ed.), Advances in fluid dynamics. Rome: Aracne. Quad. Mat. 4, 69-140 (1999).
This paper deals with a boundary value problem (bvp) for the Stokes equation. The corresponding domain is not obliged to be simply connected and it can be either a bounded or an exterior one. In their investigations the authors use the theory of hydrodynamical potentials. An existence of a unique classical solution is proved in the case of a bounded domain (§5). Similar results are obtained in §6, §7 assuming to be an exterior domain. To be more precise, we give the uniqueness result as follows: Let , be two classical solutions of the Stokes bvp. Then, if
we have and .