$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension

Details $L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension $L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension

2010-07-30

arxiv.org/abs/1007.5495v1

Mathematics

Analysis of PDEs

Scientific paper

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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