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Abstract
We consider the volume-preserving geometric evolution of the boundary of a set under fractional mean curvature. We show that smooth convex solutions maintain their fractional curvatures bounded for all times, and the long-time asymptotics approach round spheres. The proofs are based on a priori estimates on the inner and outer radii of the solutions.
Original language | English |
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Pages (from-to) | 2149-2171 |
Number of pages | 23 |
Journal | Analysis and PDE |
Volume | 13 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2020 |
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