Quantitative long range curvature estimate for mean curvature flow
Abstract
We prove that smooth convex 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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.