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Boundary flow for the minimal surfaces in Rn with Plateau boundary condition

Published online by Cambridge University Press:  12 July 2007

Kung-Ching Chang  and
Jia-Quan Liu
Kung-Ching Chang
Affiliation:
LMAM, School of Mathematics, Peking University, Beijing 100871, People's Republic of China
Jia-Quan Liu
Affiliation:
LMAM, School of Mathematics, Peking University, Beijing 100871, People's Republic of China
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Abstract

We introduce the notion of the boundary flow for minimal surfaces in Rn with Plateau boundary condition and establish the global existence and uniqueness of the flow as well as the continuous dependence on the initial data.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 3 , June 2005 , pp. 537 - 562
Copyright
Copyright © Royal Society of Edinburgh 2005

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