Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains
Published in The Journal of Geometric Analysis, 2025
Joint with Theodora Bourni & Spencer Catron. We show that for each diameter of a closed convex region, there are exactly two ancient solutions to the free boundary curve shortening flow which backwards in time to said diameter.
Recommended citation: Theodora Bourni, Nathan Burns and Spencer Catron (2025). "Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains." The Journal of Geometric Analysis. 35(210).
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