The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
| Type of Publication: | Journal article |
| Author: | Lambert, Ben |
| Year of publication: | 2014 |
| Published in: | Transactions of the American Mathematical Society ; 366 (2014). - pp. 3373-3388. - ISSN 0002-9947. - eISSN 1088-6850 |
| DOI (citable link): | https://dx.doi.org/10.1090/S0002-9947-2014-05865-0 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
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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. 366, pp. 3373-3388. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-05865-0
@article{Lambert2014perpe-30126, title={The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition}, year={2014}, doi={10.1090/S0002-9947-2014-05865-0}, volume={366}, issn={0002-9947}, journal={Transactions of the American Mathematical Society}, pages={3373--3388}, author={Lambert, Ben} }
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