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Classical solutions of the Dirichlet problem for the Darcy-Forchheimer-Brinkman system

Institute of Mathematics of the Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic

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We study solutions of the Dirichlet problem for the Brinkman system and for the DarcyForchheimer-Brinkman system in the spaces of functions ${\mathcal C}^{k,\alpha }(\overline \Omega ;{\mathbb R}^m)\times {\mathcal C}^{k-1,\alpha } (\overline \Omega )$, where $\Omega \subset {\mathbb R}^m$ is a bounded domain.
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