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June 2018 Convexity and the Dirichlet problem of translating mean curvature flows
Li Ma
Kodai Math. J. 41(2): 348-358 (June 2018). DOI: 10.2996/kmj/1530496846

Abstract

In this work, we propose a new evolving geometric flow (called translating mean curvature flow) for the translating solitons of hypersurfaces in $R^{n+1}$. We study the basic properties, such as positivity preserving property, of the translating mean curvature flow. The Dirichlet problem for the graphical translating mean curvature flow is studied and the global existence of the flow and the convergence property are also considered.

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Li Ma. "Convexity and the Dirichlet problem of translating mean curvature flows." Kodai Math. J. 41 (2) 348 - 358, June 2018. https://doi.org/10.2996/kmj/1530496846

Information

Published: June 2018
First available in Project Euclid: 2 July 2018

zbMATH: 06936457
MathSciNet: MR3824855
Digital Object Identifier: 10.2996/kmj/1530496846

Rights: Copyright © 2018 Tokyo Institute of Technology, Department of Mathematics

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Vol.41 • No. 2 • June 2018
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