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Parameter-dependent Stokes problems in vector-valued spaces and applications

Parameter-dependent Stokes problems in vector-valued spaces and applications

The stationary and instationary Stokes equations with operator coefficients in abstract function spaces are studied. The problems are considered in the whole space, and equations include small parameters. The uniform separability of these problems is established. MSC:35Q30, 76D05, 34G10, 35J25.