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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Self-similar solutions to the curve shortening flow


Author: Hoeskuldur P. Halldorsson
Journal: Trans. Amer. Math. Soc. 364 (2012), 5285-5309
MSC (2010): Primary 53C44
Published electronically: May 30, 2012
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Abstract: We give a classification of all self-similar solutions to the curve shortening flow in the plane.


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Additional Information

Hoeskuldur P. Halldorsson
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307
Email: hph@math.mit.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05632-7
PII: S 0002-9947(2012)05632-7
Received by editor(s): September 20, 2010
Published electronically: May 30, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.