Publikation: The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
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2014
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Transactions of the American Mathematical Society. 2014, 366, pp. 3373-3388. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-05865-0
Zusammenfassung
This paper demonstrates existence for all time of mean curvature flow in Minkowski space with a perpendicular Neumann boundary condition, where the boundary manifold is a convex cone and the flowing manifold is initially spacelike. Using a blowdown argument, we show that under renormalisation this flow converges towards a homothetically expanding hyperbolic solution.
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510 Mathematik
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LAMBERT, Ben, 2014. The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition. In: Transactions of the American Mathematical Society. 2014, 366, pp. 3373-3388. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-05865-0BibTex
@article{Lambert2014perpe-30126,
year={2014},
doi={10.1090/S0002-9947-2014-05865-0},
title={The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition},
volume={366},
issn={0002-9947},
journal={Transactions of the American Mathematical Society},
pages={3373--3388},
author={Lambert, Ben}
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