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Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
University of Rostock.
2007 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 280, no 7, 751-793 p.Article in journal (Refereed) Published
Abstract [en]

A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the faces of the polyhedron. The authors prove the existence of solutions in (weighted and non-weighted) Lp Sobolev spaces and obtain regularity assertions for weak solutions. The results are based on point estimates of Green's matrix.

Place, publisher, year, edition, pages
2007. Vol. 280, no 7, 751-793 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-40059DOI: 10.1002/mana.200610513Local ID: 52202OAI: oai:DiVA.org:liu-40059DiVA: diva2:260908
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Maz´ya, Vladimir G.

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