α-Mean curvature flow of non-compact complete convex hypersurfaces and the evolution of level sets

We consider the α\alpha -mean curvature flow for convex graphs in Euclidean space. Given a smooth, complete, strictly convex, non-compact initial hypersurface over a strictly convex projected domain, we derive uniform curvature bounds, which are independent of the height of a graph, to give C2{C}^{2...

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Bibliographic Details
Main Authors: Kang Hyunsuk, Lee Ki-Ahm, Lee Taehun
Format: Article
Language:English
Published: De Gruyter 2025-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2025-0101
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