L 2-flow of elastic curves with clamped boundary conditions

Chun Chi Lin*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

15 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)6414-6428
頁數15
期刊Journal of Differential Equations
252
發行號12
DOIs
出版狀態已發佈 - 2012 六月 15

ASJC Scopus subject areas

  • 分析
  • 應用數學

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