On the ${\mathrm{L}}^p$-theory of the Navier--Stokes equations on three-dimensional bounded Lipschitz domains

Patrick Tolksdorf

On a bounded Lipschitz domain $\Omega \subset {\mathbb{R}}^d$, $d\ge 3$, we continue the study of Shen and of Kunstmann and Weis of the Stokes operator on ${\mathrm{L}}_{\sigma }^p(\Omega )$. We employ…