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Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Rostock University.
2006 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, E-ISSN 1099-1476, Vol. 29, no 9, 965-1017 p.Article in journal (Refereed) Published
Abstract [en]

A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. The authors prove the existence of solutions in weighted and non-weighted Holder spaces and obtain regularity results for the solutions. The results are essentially based on estimates of the Green's matrix. Copyright © 2006 John Wiley & Sons, Ltd.

Place, publisher, year, edition, pages
2006. Vol. 29, no 9, 965-1017 p.
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Mathematics
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URN: urn:nbn:se:liu:diva-35988DOI: 10.1002/mma.695Local ID: 29262OAI: oai:DiVA.org:liu-35988DiVA: diva2:256836
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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