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arXiv:math/0302345 [math.AP]AbstractReferencesReviewsResources

Translating solutions for Gauss curvature flows with Neumann boundary conditions

Oliver C. Schnuerer, Hartmut R. Schwetlick

Published 2003-02-27Version 1

We consider strictly convex hypersurfaces which are evolving by the non-parametric logarithmic Gauss curvature flow subject to a Neumann boundary condition. Solutions are shown to converge smoothly to hypersurfaces moving by translation. In particular, for bounded domains we prove that convex functions with prescribed normal derivative satisfy a uniform oscillation estimate.

Comments: 22 pages, 6 figures; submitted to Pacific J. Math
Categories: math.AP, math.DG
Subjects: 53C44, 35K20, 53C42
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