# Article

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Keywords:
generalized Stokes problem; weak solutions; regularity up to the boundary
Summary:
We investigate the existence of weak solutions and their smoothness properties for a generalized Stokes problem. The generalization is twofold: the Laplace operator is replaced by a general second order linear elliptic operator in divergence form and the ``pressure'' gradient \$\nabla p\$ is replaced by a linear operator of first order.
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