4 papers · 1 filter
Singularities of Mean Curvature Flow with Bounded Total Curvature
Yongheng Han, Zhen Wang
We prove that every tangent flow at the first singular time of a smooth, closed, embedded mean curvature flow has smooth support, provided that the total curvature satisfies $\sup_…
The Covariant Riesz Transforms on Riemannian Manifolds
Yongheng Han, Bing Wang
We establish the -boundedness of the local covariant Riesz transform for differential forms on manifold with bounded . Let be the Hodge Laplace operator on $…
Well-posedness of mean curvature flow
Yongheng Han
In this paper, using heat kernel estimates and contraction mapping principle, we give a new proof of the existence and uniqueness of mean curvature flow starting from hypersurface…
The Calderón-Zygmund inequalities on evolving Riemannian manifolds
Yongheng Han, Bing Wang
The Calderón-Zygmund inequality is a cornerstone of harmonic analysis and partial differential equations. In this article, we establish various Calderón-Zygmund inequalities on evo…