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2011, 2011(Special): 155-162. doi: 10.3934/proc.2011.2011.155

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, Germany, Germany

Received  June 2010 Revised  March 2011 Published  October 2011

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.
Keywords: time-like surface, prescribed mean curvature, Minkowski space.
Mathematics Subject Classification: Primary: 53B30, 53A35; Secondary: 35L51.
Citation: Matthias Bergner, Lars Schäfer. Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space. Conference Publications, 2011, 2011 (Special) : 155-162. doi: 10.3934/proc.2011.2011.155
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