Quantitative long range curvature estimate for mean curvature flow
Name
10.1515_crelle-2025-0062.pdf
Description
Published version
Size
172.6 KB
Format
Adobe PDF
Checksum (MD5)
c7805984d99e4c843f877a9be8c21419
Author(s)
Zhu, Jingze
Date Issued
September 25, 2025
Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Publisher
Walter de Gruyter GmbH
Citation
Zhu, Jingze. "Quantitative long range curvature estimate for mean curvature flow" Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2025, no. 828, 2025, pp. 219-222.
Version
Final published version
Abstract
We prove that 𝛼-noncollapsed ancient mean curvature flow satisfies a quantitative curvature estimate 𝐻(𝑦,𝑡)≤𝐶𝐻(𝑥,𝑡)(𝐻(𝑥,𝑡)|𝑥−𝑦|+1)2 for any pair of 𝑥,𝑦 . In other words, the rescaled curvature grows at most quadratically in terms of the rescaled extrinsic distance.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1515/crelle-2025-0062
