Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains |
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| Authors: | V Maz'ya J Rossmann |
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| Institution: | 1. University of Link?ping, Department of Mathematics, 58183 Link?ping, Sweden;2. University of Rostock, Department of Mathematics, 18051 Rostock, Germany |
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| 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) Lp 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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| Keywords: | Stokes system nonsmooth domains |
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