Decay order bound for mean curvature flow near compact singularities

Sourav Ghosh

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arXiv · 2511.15297

Decay order bound for mean curvature flow near compact singularities

Sourav Ghosh

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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.

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Sourav Ghosh. 2025-11-19. Decay order bound for mean curvature flow near compact singularities. https://arxiv.org/abs/2511.15297

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