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$L^p$ Solvability of the Stationary Stokes Problem in Domains with Conical Singularity in Any Dimension

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http://www.springerlink.com/content/t615875116hg62u1/
Original languageEnglish
Pages (from-to)1
Number of pages19
JournalJournal of Mathematical Sciences
Volume170
Issue number1
DOIs
Publication statusPublished - 2010

Abstract

The Dirichlet boundary value problem for the Stokes
operator with $L^p$ data in any dimension on domains with conical
singularity (not necessary a Lipschitz graph) is considered. We
establish the solvability of the problem for all $p\in
(2-\varepsilon,\infty]$ and also its solvability in
$C(\overline{D})$ for the data in $C(\partial D)$.

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