Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space

Matthias Bergner; Lars Schäfer

doi:10.3934/proc.2011.2011.155

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2011, Volume 2011: 155-162. Doi: 10.3934/proc.2011.2011.155 open access

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Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space

Matthias Bergner^1, and
Lars Schäfer^1,

1.
Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover

Received: June 2010

Revised: March 2011

Published: August 2017

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Abstract

Solving an initial value problem for a hyperbolic system, we prove existence and uniqueness of time-like immersions of prescribed anisotropic mean curvature into Minkowski space $\mathbb{R}^(2,1)$ subject to geometric initial conditions.

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Mathematics Subject Classification: Primary: 53B30, 53A35; Secondary: 35L51.

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