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May/June 2010 Construction of complete embedded self-similar surfaces under mean curvature flow. Part II
Xuan Hien Nguyen
Adv. Differential Equations 15(5/6): 503-530 (May/June 2010).

Abstract

We study the Dirichlet problem associated to the equation for self-similar surfaces under mean curvature flow for graphs over the Euclidean plane with a disk removed. We show the existence of a solution provided the boundary conditions on the boundary circle are small enough and satisfy some symmetries.

Citation

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Xuan Hien Nguyen. "Construction of complete embedded self-similar surfaces under mean curvature flow. Part II." Adv. Differential Equations 15 (5/6) 503 - 530, May/June 2010.

Information

Published: May/June 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1200.53061
MathSciNet: MR2643233

Subjects:
Primary: 53C44

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.15 • No. 5/6 • May/June 2010
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