Yiqi Huang

collaborators

3 papers

math.DG2025

The Bounded Diameter Conjecture and Sharp Geometric Estimates for Mean Curvature Flow

Yiqi Huang, Wenshuai Jiang

We show that the intrinsic diameter of mean curvature flow in $R^{3}$ is uniformly bounded as one approaches the first singular time $T$ . This confirms the bounded diameter…

math.DG2024★ 3 cited

The Nodal Sets of Solutions to Parabolic Equations

Yiqi Huang, Wenshuai Jiang

In this paper, we study the parabolic equations $\partial_{t} u = \partial_{j} (a^{ij} (x, t) \partial_{i} u) + b^{j} (x, t) \partial_{j} u + c (x, t) u$ in a domain of $R^{n}$ under the con…

math.AP2023

Volume Estimates for Singular sets and Critical Sets of Elliptic Equations with Hölder Coefficients

Yiqi Huang, Wenshuai Jiang

Consider the solutions $u$ to the elliptic equation $L (u) = \partial_{i} (a^{ij} (x) \partial_{j} u) + b^{i} (x) \partial_{i} u + c (x) u = 0$ with $a^{ij}$ assumed only to be Hölder…