The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO |
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| Authors: | V Maz’ya M Mitrea T Shaposhnikova |
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| Institution: | 1.Department of Mathematical Sciences,University of Liverpool,Liverpool,UK;2.Link?ping University,Bromma,Sweden;3.University of Missouri at Columbia,Columbia,USA |
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| Abstract: | The goal of this work is to study the inhomogeneous Dirichlet problem for the Stokes system in a Lipschitz domain Ω ⊆ ℝ
n
, n⩾2. Our main result is that this problem is well posed in Besov-Triebel-Lizorkin spaces, provided that the unit normal ν to Ω has small mean oscillation. |
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