Paper · Jul 3, 2023
Isoperimetry and the properness of weak inverse mean curvature flow
As on arXiv
Abstract
We prove a new existence theorem for proper solutions of Huisken and Ilmanen's weak inverse mean curvature flow, assuming certain non-degeneracy conditions on the isoperimetric profile. In particular, no curvature assumption is imposed in our existence theorem.
Comments: v2 update: the result is extended to all dimensions, organizational and writing improvements are made. 19 pages. Final version, to appear in Calc. Var. PDE
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- 6A.10Curve Shortening and the First Geometric Flows
Shrinking circles, grim reapers, neckpinches and Huisken’s monotonicity, seen in the plane.