Translating solutions for Gauss curvature flows with Neumann boundary conditions
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0302345,
title = {Translating solutions for Gauss curvature flows with Neumann boundary conditions},
author = {Oliver C. Schnuerer and Hartmut R. Schwetlick},
journal= {arXiv preprint arXiv:math/0302345},
year = {2007}
}
Comments
22 pages, 6 figures; submitted to Pacific J. Math