Qi Sun

activity

20242026

collaborators

5 papers

math.AP2026

Unbounded variation solutions for uniformly elliptic equations in nondivergence form in dimension three

Nam Q. Le, Qi Sun, Hung V. Tran

For each nonnegative integer $m$ , we construct smooth symmetric $3 \times 3$ coefficient matrices $A_{m}$ satisfying the fixed ellipticity bound \[ I\leq A_m\leq 2^{81}I \] for which…

math.AP2026

Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations

Jiwoong Jang, Qi Sun, Hung V. Tran +1

We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is $O(\varepsilon^{1/…

math.DG2025

Singularities of Curve Shortening Flow with Convex Projections

Qi Sun

We show that any smooth closed immersed curve in $R^{n}$ with a one-to-one convex projection onto some $2$ -plane develops a Type~I singularity and becomes asymptotically circ…

math.DG2025

Huisken's Distance Comparison Principle in Higher Codimension

Qi Sun

We establish a variant of Huisken's distance comparison principle for reflection symmetric immersed Curve Shortening flow in $R^{n}, n \geq 2$ . As an application, we show that c…

math.DG2024

Curve Shortening Flow of Space Curves with Convex Projections

Qi Sun

We show that under Space Curve Shortening flow any closed immersed curve in $R^{n}$ whose projection onto $R^{2} \times {0}$ is convex remains smooth until it sh…