Zhong-Wei Shen

Resolvent Estimates for the Stokes Operator in a Three-Dimensional Lipschitz Domain

By refining the approach developed in \cite{AGH-2015, GS2026a}, we establish resolvent estimates in $L^p_\sigma (\Omega)$ for the Stokes operator in a bounded Lipschitz domain $\Omega$ in $\R^3$ for any $(3/2)-\e<p\le \infty$, where $\e>0$ depends on $\Omega$. As a consequence, the Stokes operator generates a uniformly...