Ancient solutions to curve shortening with finite total curvature

Angenent, Sigurd; You, Qian

doi:10.1090/tran/8186

Ancient solutions to curve shortening with finite total curvature

Authors: Sigurd Angenent and Qian You
Journal: Trans. Amer. Math. Soc. 374 (2021), 863-880
MSC (2010): Primary 53C44
DOI: https://doi.org/10.1090/tran/8186
Published electronically: November 3, 2020
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Abstract: We construct ancient solutions to curve shortening in the plane whose total curvature is uniformly bounded by gluing together an arbitrary chain of given grim reapers along their common asymptotes.

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