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25 April 2024

» arxiv » 2001.9860

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Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold $M^{n} imesmathbb{R}$
Ya Gao ; Yi-Juan Gong ; Jing Mao ;
Date:	27 Jan 2020
Abstract:	In this paper, we can prove the existence of translating solutions to the nonparametric mean curvature flow with nonzero Neumann boundary data in a prescribed product manifold $M^{n} imesmathbb{R}$, where $M^{n}$ is an $n$-dimensional ($ngeq2$) complete Riemannian manifold with nonnegative Ricci curvature, and $mathbb{R}$ is the Euclidean $1$-space.
Source:	arXiv, 2001.9860
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