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A standard result gives that $U$ belongs to $C([0,T];H^s(\\mathbb{R}^3))$ whenever $(\\Phi,\\Psi)\\in H^s\\times H^{s-1}(\\mathbb{R}^3)$. In this note we are interested in the question of how $U$ can be realized as a limit of solutions to initial-boundary value problems on the exterior of vanishing balls $B_\\varepsilon$ about the origin. 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