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arXiv · 2610.21545

Generic Mean Curvature Flow With Rough Weights

Fabius Krämer·Tim Laux·Keisuke Takasao
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Abstract

We prove the generic existence of mean curvature flows in spaces with rough weights. Our weak solutions are both unit-density Brakke flows and distributional solutions. Such a generic statement is optimal in the sense that we consider weights that are too rough to have well-defined traces on every hypersurface.

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Fabius Krämer, Tim Laux, Keisuke Takasao. 2026-10-15. Generic Mean Curvature Flow With Rough Weights. https://arxiv.org/abs/2610.21545

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