Decay order bound for mean curvature flow near compact singularities

2025/11/19 by Ghosh, Sourav
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · doi:10.48550/arxiv.2511.15297

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.

Citations

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• Passing through nondegenerate singularities in mean curvature flows
• Singularities of mean curvature flow with bounded mean curvature and Morse index