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The self-similar expanding curve for the curvature flow equation

Authors: Hua-Huai Chern, Jong-Shenq Guo and Chu-Pin Lo
Journal: Proc. Amer. Math. Soc. 131 (2003), 3191-3201
MSC (2000): Primary 35B60, 34A12, 35B35
Published electronically: April 30, 2003
MathSciNet review: 1992860
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Abstract: We study a two-point free boundary problem for the curvature flow equation. By studying the corresponding nonlinear initial value problem, we obtain the existence and uniqueness of the forward self-similar solution of this problem. The corresponding curve is called the self-similar expanding curve. We also derive the asymptotic stability of this curve.

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Additional Information

Hua-Huai Chern
Affiliation: Department of Computer and Information Sciences, National Taiwan Ocean University, 2, Pei-Ning Road, Keelung, Taiwan

Jong-Shenq Guo
Affiliation: Department of Mathematics, National Taiwan Normal University, 88, S-4 Ting Chou Road, Taipei 117, Taiwan

Chu-Pin Lo
Affiliation: Department of Applied Mathematics, Providence University, 200, Chung-Chi Road, Shalu, Taichung County 433, Taiwan

Received by editor(s): May 16, 2002
Published electronically: April 30, 2003
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2003 American Mathematical Society

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