The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains
| dc.creator | Kilty, Joel | |
| dc.date | 2009-04-24 | |
| dc.date | 2009-04-30 | |
| dc.date.accessioned | 2026-07-07T13:09:50Z | |
| dc.date.available | 2026-07-07T13:09:50Z | |
| dc.description | We study the $L^p$ Dirichlet problem for the Stokes system on Lipschitz domains. For any fixed $p>2$, we show that a reverse Hölder condition with exponent $p$ is sufficient for the solvability of the Dirichlet problem with boundary data in $L^p_N(\partialΩ,\rn{d})$. Then we obtain a much simpler condition which implies the reverse Hölder condition. Finally, we establish the solvability ofthe $L^p$ Dirichlet problem for $d\geq 4$ and $2-\varepsilon<p<\frac{2(d-1)}{d-3}+\varepsilon$. | |
| dc.description | To appear in Indiana Univ. Math. Journal. Updated to fix formatting issues | |
| dc.identifier | https://arxiv.org/abs/0904.3904 | |
| dc.identifier | http://arxiv.org/abs/0904.3904 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228872 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q30 | |
| dc.title | The $L^p$ Dirichlet Problem for the Stokes System on Lipschitz Domains | |
| dc.type | text |