The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
Author:
Ben Lambert
Journal:
Trans. Amer. Math. Soc. 366 (2014), 3373-3388
MSC (2010):
Primary 53C44, 35K59
DOI:
https://doi.org/10.1090/S0002-9947-2014-05865-0
Published electronically:
March 20, 2014
MathSciNet review:
3192599
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Abstract | References | Similar Articles | Additional Information
Abstract: 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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Additional Information
Ben Lambert
Affiliation:
Department of Mathematics, University of Konstanz, Zukunftskolleg, Box 216, 78457 Konstanz, Germany
Email:
benjamin.lambert@uni-konstanz.de
Received by editor(s):
December 8, 2011
Published electronically:
March 20, 2014
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
