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Construction of maximal hypersurfaces with boundary conditions

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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 Lorentz boundary manifold.

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  1. University of Konstanz, 78457, Konstanz, Germany

    Ben Lambert

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  1. Ben Lambert
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Correspondence to Ben Lambert.

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Lambert, B. Construction of maximal hypersurfaces with boundary conditions. manuscripta math. 153, 431–454 (2017). https://doi.org/10.1007/s00229-016-0896-1

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  • DOI: https://doi.org/10.1007/s00229-016-0896-1

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