Abstract
This article deals with asymptotic estimates of strong solutions of Stokes equations in aperture domains. An aperture domain is a domain, which outside a bounded set is identical to two half spaces separated by a wall and connected inside the bounded set by one or more holes in the wall. It is known that the corresponding Stokes operator generates a bounded analytic semigroup in the closed subspace J_q(\Omega) of divergence free vector fields of L_q(\Omega)^n . We deal with L_q-L_r -estimates for the semigroup, which are known for \mathbb R^n , the half space and exterior domains.
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