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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 3, Pages 65–88
DOI: https://doi.org/10.4213/faa2960 (Mi faa2960) 		 
This article is cited in 29 scientific papers (total in 29 papers)

The Inhomogeneous Dirichlet Problem for the Stokes System in Lipschitz Domains with Unit Normal Close to VMO

V. G. Maz'yaab, M. Mitreac, T. O. Shaposhnikovab

a University of Liverpool
b Linköping University
c University of Missouri
Full-text PDF (397 kB) Citations (29)
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DOI: https://doi.org/10.4213/faa2960
Abstract: The goal of this work is to study the inhomogeneous Dirichlet problem for the Stokes system in a Lipschitz domain $\Omega\subseteq\mathbb{R}^n$, $n\ge 2$. Our main result is that this problem is well posed in Besov–Triebel–Lizorkin spaces, provided that the unit normal $\nu$ to $\Omega$ has small mean oscillation.
Keywords: Stokes system, Lipschitz domain, boundary value problem, Besov–Triebel–Lizorkin spaces.
Received: 06.05.2009
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 3, Pages 217–235
DOI: https://doi.org/10.1007/s10688-009-0029-7
Bibliographic databases:
Document Type: Article
UDC: 517.956.223+517.518.23
Language: Russian
Citation: V. G. Maz'ya, M. Mitrea, T. O. Shaposhnikova, “The Inhomogeneous Dirichlet Problem for the Stokes System in Lipschitz Domains with Unit Normal Close to VMO”, Funktsional. Anal. i Prilozhen., 43:3 (2009), 65–88; Funct. Anal. Appl., 43:3 (2009), 217–235
Citation in format AMSBIB
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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