| Autor: |
Panagiotis Gianniotis, Robert Haslhofer |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
American Journal of Mathematics. 142:1877-1896 |
| ISSN: |
1080-6377 |
| DOI: |
10.1353/ajm.2020.0046 |
| Popis: |
We prove that for the mean curvature flow of two-convex hypersurfaces the intrinsic diameter stays uniformly controlled as one approaches the first singular time. We also derive sharp $L^{n-1}$-estimates for the regularity scale of the level set flow with two-convex initial data. Our proof relies on a detailed analysis of cylindrical regions ($\varepsilon$-tubes) under mean curvature flow. The results are new even in the most classical case of mean convex surfaces evolving by mean curvature flow in $\mathbb{R}^3$. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
|
