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Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains

✍ Scribed by V. Maz'ya; J. Rossmann

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
497 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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) L~p~ Sobolev spaces and obtain regularity assertions for weak solutions. The results are based on point estimates of Green's matrix. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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