A Note on the Dirichlet Problem for the Stokes System in Lipschitz Domains
Zhongwei Shen · Proceedings of the American Mathematical Society · 1995
We study the ${L^p}$ Dirichlet problem for the Stokes system in Lipschitz domains. Optimal estimates are obtained when the dimension $n = 3$. In the case of $n \geq 4$, we establish a weak estimate of solutions for certain range of p.