Translating solutions for Gauss curvature flows with Neumann boundary conditions

Details Translating solutions for Gauss curvature flows with Neumann boundary conditions Translating solutions for Gauss curvature flows with Neumann boundary conditions

2003-02-27

arxiv.org/abs/math/0302345v1

Mathematics

Analysis of PDEs

22 pages, 6 figures; submitted to Pacific J. Math

Scientific paper

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.

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