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Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Rostock University.
2005 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 278, no 15, 1766-1810 p.Article in journal (Refereed) Published
Abstract [en]

The paper deals with a mixed boundary value problem for the Stokes system in a polyhedral cone. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the sides of the polyhedron. The authors obtain regularity results for weak solutions in weighted L2 Sobolev spaces and prove point estimates of Green's matrix.

Place, publisher, year, edition, pages
2005. Vol. 278, no 15, 1766-1810 p.
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Mathematics
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URN: urn:nbn:se:liu:diva-35985DOI: 10.1002/mana.200410340Local ID: 29258OAI: oai:DiVA.org:liu-35985DiVA: diva2:256833
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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