The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝn
Mirela Kohr · Mathematische Nachrichten · 2007
Abstract The Dirichlet problems for the Stokes resolvent equations are studied from the point of view of the theory of hydrodynamic potentials. Existence and uniqueness results as well as boundary integral representations of classical solutions are given for domains having compact but not connected boundaries of class C1,α (0 < α ≤ 1) in both the bounded and exterior cases. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)