Decay order bound for mean curvature flow near compact singularities
Differential Geometry
2025-11-20 v1 Analysis of PDEs
Abstract
We consider the rescaled flow associated with a mean curvature flow that develops a compact singularity of multiplicity one. We prove that the ``decay order'' of such a rescaled flow is uniformly bounded. As a consequence, we prove a unique continuation result.
Cite
@article{arxiv.2511.15297,
title = {Decay order bound for mean curvature flow near compact singularities},
author = {Sourav Ghosh},
journal= {arXiv preprint arXiv:2511.15297},
year = {2025}
}