On the L^p-theory of the Navier-Stokes equation on Lipschitz domains

In this thesis, we investigate the Stokes operator on bounded Lipschitz domains in L^p. We proof important L^p-L^q-estimates for the Stokes semigroup as well as maximal regularity of the Stokes operator. These facts are used to derive the existence of solutions to the Navier-Stokes equations in L^p....

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Bibliographic Details
Main Author: Tolksdorf, Patrick
Format: Others
Language:en
Published: 2017
Online Access:http://tuprints.ulb.tu-darmstadt.de/5960/1/Template%20Diss.pdf
Tolksdorf, Patrick <http://tuprints.ulb.tu-darmstadt.de/view/person/Tolksdorf=3APatrick=3A=3A.html> : On the L^p-theory of the Navier-Stokes equation on Lipschitz domains. Technische Universität, Darmstadt [Ph.D. Thesis], (2017)