@article{127e12cfe3744abb8fb57a1e151fdee1,
title = "L 2-flow of elastic curves with clamped boundary conditions",
abstract = "In this paper we investigate the L 2-flow of elastic curves with clamped boundary conditions in n-dimensional Euclidean spaces. The L 2-flow corresponds to a fourth-order parabolic equation. In the case of closed curves, the long-time existence of solutions of this evolution equation has been derived in the literature. We extend this result to the case of open (i.e., non-closed) curves with clamped boundary conditions.",
keywords = "Clamped boundary condition, Elastic curve, Fourth-order flow",
author = "Lin, {Chun Chi}",
note = "Funding Information: This work was sponsored by Taiwan National Science Council Grant 98-2115-M-003-011-MY2 and partially supported by National Center for Theoretical Sciences in Taiwan. The author would like to thank the referee for valuable comments and Simon Morgan for his great help in revising this article.",
year = "2012",
month = jun,
day = "15",
doi = "10.1016/j.jde.2012.03.010",
language = "English",
volume = "252",
pages = "6414--6428",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "12",
}