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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{kramer2026generic,
  title = {{Generic Mean Curvature Flow With Rough Weights}},
  author = {Fabius Krämer and Tim Laux and Keisuke Takasao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21545},
  eprint = {2610.21545},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21545},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generic Mean Curvature Flow With Rough Weights
AU  - Fabius Krämer
AU  - Tim Laux
AU  - Keisuke Takasao
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21545
UR  - https://arxiv.org/abs/2610.21545
AB  - 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.
ER  -