Pure and Applied Mathematics Quarterly
Volume 9 (2013)
On the asymptotic stability of stationary lines in the curve shortening problem
Pages: 493 – 506
The asymptotic stability of the stationary lines in the curve shortening problem was studied in Nara-Taniguchi [NT2] when the initial curve is a graph over the stationary line. The result is extended to a class of nongraphic initial curves.
curve shortening problem, curvature flow, asymptotic behavior, foliation, Sturm oscillation theorem
2010 Mathematics Subject Classification
Primary 53C44. Secondary 35B05, 35B35, 35B40, 53C12.
Published 13 November 2013