3 papers
math.DG2026
Parabolic rectifiability of the Brakke flow
Yu Tong Liu, Myles Workman
We prove that the support of the canonical space-time measure for a Brakke flow is a parabolic -rectifiable set. As a consequence, we obtain that at almost all points along…
math.AP2025
Local Behavior of Fractional Equations in Grushin-type Spaces
Boxiang Xu, Yu Liu, Shaoguang Shi
In this paper, we establish the De Giorgi-Nash-Moser theory for a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, with th…
math.CA2024
Higher order pointwise differential for distribution
Yu-Tong Liu
The notion of pointwise differentials for distributions is a way to extract local information of distributions by rescaling the distribution at a point. In this paper, we study the…