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A note on the oblique derivative problem for graphical mean curvature flow in Minkowski space

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Abstract

We show that a solution to graphical mean curvature flow with a perpendicular boundary condition over a convex domain in Minkowski space exists for all time. We additionally show that this solution will converge to a hyperplane as t→∞.

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Correspondence to Ben Lambert.

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Communicated by V. Cortés.

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Lambert, B. A note on the oblique derivative problem for graphical mean curvature flow in Minkowski space. Abh. Math. Semin. Univ. Hambg. 82, 115–120 (2012). https://doi.org/10.1007/s12188-012-0066-7

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  • DOI: https://doi.org/10.1007/s12188-012-0066-7

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