-Estimates for Non-Stationary Stokes Equations in an Aperture Domain
Helmut AbelsUniversität Regensburg, Germany
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 of divergence free vector fields of . We deal with -estimates for the semigroup, which are known for , the half space and exterior domains.
Cite this article
Helmut Abels, -Estimates for Non-Stationary Stokes Equations in an Aperture Domain. Z. Anal. Anwend. 21 (2002), no. 1, pp. 159–178DOI 10.4171/ZAA/1069