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The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
University of Missouri.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2009 (English)In: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, ISSN 0016-2663, Vol. 43, no 3, 217-235 p.Article in journal (Refereed) Published
Abstract [en]

The goal of this work is to study the inhomogeneous Dirichlet problem for the Stokes system in a Lipschitz domain Omega aS dagger a"e (n) , na (c) 3/42. Our main result is that this problem is well posed in Besov-Triebel-Lizorkin spaces, provided that the unit normal nu to Omega has small mean oscillation.

Place, publisher, year, edition, pages
2009. Vol. 43, no 3, 217-235 p.
Keyword [en]
Stokes system, Lipschitz domain, boundary value problem, Besov-Triebel-Lizorkin spaces
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-21519DOI: 10.1007/s10688-009-0029-7OAI: oai:DiVA.org:liu-21519DiVA: diva2:241468
Available from: 2009-10-02 Created: 2009-10-02 Last updated: 2010-11-12

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Maz´ya, VladimirShaposhnikova, Tatyana

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