The self-similar expanding curve for the curvature flow equation

Chern, Hua-Huai; Guo, Jong-Shenq; Lo, Chu-Pin

doi:10.1090/S0002-9939-03-07055-2

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ISSN 1088-6826(online) ISSN 0002-9939(print)

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
Posted: 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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