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arXiv · 1408.5309

Construction of Maximal Hypersurfaces with Boundary Conditions

Ben Lambert
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Abstract

We construct maximal hypersurfaces with a Neumann boundary condition in Minkowski space via mean curvature flow. In doing this we give general conditions for long time existence of the flow with boundary conditions with assumptions on the curvature of a the Lorentz boundary manifold.

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Ben Lambert. 2014-08-22. Construction of Maximal Hypersurfaces with Boundary Conditions. https://arxiv.org/abs/1408.5309

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