Zhongwei Shen

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math.AP2025

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 $I^c ◯$ in $R^{d}$ under the assumptions that $I^c ◯$ is $C^{1}$ for $d…

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 for the Stokes Operator in Bounded and Exterior $C^{1}$ Domains

Jun Geng, Zhongwei Shen

We establish resolvent estimates in $L^{q}$ spaces for the Stokes operator in a bounded $C^{1}$ domain $I^c ◯$ in $R^{d}$ . As a corollary, it follows that the Stokes operator gener…

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

Neumann Problems for the Stokes Equations in Convex Domains

Resolvent Estimates for the Stokes Operator in Bounded and Exterior C1 Domains

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

Resolvent Estimates for the Stokes Operator in Bounded and Exterior $C^{1}$ Domains