Resolvent Estimates in $L^{\infty }$ for the Stokes Operator in Nonsmooth Domains

Jun Geng, Zhongwei Shen

We establish resolvent estimates in spaces of bounded solenoidal functions for the Stokes operator in a bounded domain $\hat{I}\text{c◯}$ in $R^d$ under the assumptions that $\hat{I}\text{c◯}$ is $C^1$ for $d…