Ziming Shi

activity

20212025

most citedOblique Derivative Boundary Value Problems on Families of Planar Domains

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2025

A homotopy formula for $a_{q}$ domains in complex manifolds

Xianghong Gong, Ziming Shi

We construct a global homotopy formula for $a_{q}$ domains in a complex manifold. The homotopy operators in the formula will gain $1/2$ derivative in Hölder-Zygmund spaces $Λ^{r}$ wh…

math.CV2024

Sobolev and Hölder estimates for the $\partial$ equation on pseudoconvex domains of finite type in $C^{2}$

Ziming Shi

We prove a homotopy formula which yields almost sharp estimates in all (positive-indexed) Sobolev and Hölder-Zygmund spaces for the $\partial$ equation on pseudoconvex do…

math.AP2021★ 1 cited

Oblique Derivative Boundary Value Problems on Families of Planar Domains

Ziming Shi

We consider second-order elliptic equations with oblique derivative boundary conditions, defined on a family of bounded domains in $C$ that depend smoothly on a real param…

A homotopy formula for aq​ domains in complex manifolds

Sobolev and Hölder estimates for the ∂ equation on pseudoconvex domains of finite type in C2

Oblique Derivative Boundary Value Problems on Families of Planar Domains

A homotopy formula for $a_{q}$ domains in complex manifolds

Sobolev and Hölder estimates for the $\partial$ equation on pseudoconvex domains of finite type in $C^{2}$