The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains

Details The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains

2009-04-24

arxiv.org/abs/0904.3904v2

Mathematics

Analysis of PDEs

To appear in Indiana Univ. Math. Journal. Updated to fix formatting issues

Scientific paper

We study the $L^p$ Dirichlet problem for the Stokes system on Lipschitz domains. For any fixed $p>2$, we show that a reverse H\"{o}lder condition with exponent $p$ is sufficient for the solvability of the Dirichlet problem with boundary data in $L^p_N(\partial\Omega,\rn{d})$. Then we obtain a much simpler condition which implies the reverse H\"{o}lder condition. Finally, we establish the solvability ofthe $L^p$ Dirichlet problem for $d\geq 4$ and $2-\varepsilon

Affiliated with

Also associated with

No associations

Rating

The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609738