On the Helmholtz decomposition in general unbounded domains

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The L∞-Stokes semigroup in exterior domains (2012, background): “Later, this result was generalized for an arbitrary uniformly C1-domain for n ≥ 2 [14].”
Analyticity of the Stokes semigroup in spaces of bounded functions (2011, background): “Later, it is generalized for arbitrary uniformly C(1)-domain for n ≥ 2 [15].”
Stokes Resolvent Estimates in Spaces of Bounded Functions (2012, background): “By the L̃-theory [13, 14], [15] we verify the existence of a solution to (1.”