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ISBN 9783843909020

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978-3-8439-0902-0, Reihe Mathematik

Veronika Rosteck
The Stokes System with the Navier Boundary Condition in General Unbounded Domains

147 Seiten, Dissertation Technische Universität Darmstadt (2013), Softcover, A5

Zusammenfassung / Abstract

We consider the Stokes system with the Navier boundary condition in general uniformly smooth domains and verify crucial properties of the corresponding Stokes operator in the framework of modified spaces, which are defined as sums and intersections of Lebesgue spaces. In particular, we show that the Stokes operator generates an analytic semigroup and has the property of maximal regularity.