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
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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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Additional Information
Sigurd Angenent
Affiliation:
Department of Mathematics, University of Wisconsin Madison, Van Vleck Hall, 480 Lincoln Drive, Madison, Wisconsin 53706
Qian You
Affiliation:
Jersey City, New Jersey 07310
DOI:
https://doi.org/10.1090/tran/8186
Received by editor(s):
September 19, 2018
Received by editor(s) in revised form:
December 13, 2019
Published electronically:
November 3, 2020
Article copyright:
© Copyright 2020
American Mathematical Society