Kodai Mathematical Journal

Convexity and the Dirichlet problem of translating mean curvature flows

Li Ma

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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.

Article information

Source
Kodai Math. J., Volume 41, Number 2 (2018), 348-358.

Dates
First available in Project Euclid: 2 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1530496846

Digital Object Identifier
doi:10.2996/kmj/1530496846

Mathematical Reviews number (MathSciNet)
MR3824855

Zentralblatt MATH identifier
06936457

Citation

Ma, Li. Convexity and the Dirichlet problem of translating mean curvature flows. Kodai Math. J. 41 (2018), no. 2, 348--358. doi:10.2996/kmj/1530496846. https://projecteuclid.org/euclid.kmj/1530496846


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