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Harnack Inequality for $f$-Mean Curvature Flow

Differential Geometry 2025-12-01 v1

Abstract

In this paper, we prove a Li-Yau-Hamilton type Harnack estimate for the ff-mean curvature flow in Euclidean space, which can be viewed as a gradient flow of the weighed area functional with the measure density function efe^{-f}.

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Cite

@article{arxiv.2511.23330,
  title  = {Harnack Inequality for $f$-Mean Curvature Flow},
  author = {Xiang-Dong Li and Qi Yan},
  journal= {arXiv preprint arXiv:2511.23330},
  year   = {2025}
}

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11 pages