Zhong-Wei Shen

collaborators

3 papers

math.AP2026

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

Zhongwei Shen

By refining the approach developed in \cite{AGH-2015, GS2026a}, we establish $L^{p}$ resolvent estimates for the Stokes operator in a bounded Lipschitz domain $Ω$ in $R^{3}$ for any $…

math.AP2024

Neumann Problems for the Stokes Equations in Convex Domains

Jun Geng, Zhongwei Shen

This paper studies the Neumann boundary value problems for the Stokes equations in a convex domain in $R^{d}$ . We obtain nontangential-maximal-function estimates in $L^{p}$ an…

math.AP2024

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 $Ω$ in $R^{d}$ under the assumptions that $Ω$ is $C^{1}$ for $d\g…

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

Neumann Problems for the Stokes Equations in Convex Domains

Resolvent Estimates in L∞ for the Stokes Operator in Nonsmooth Domains

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