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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
14/2002

Translating solutions for Gauß curvature flows with Neumann boundary condition

Oliver Schnürer and Hartmut Schwetlick

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.

Received:
Feb 19, 2002
Published:
Feb 19, 2002
MSC Codes:
53C44, 35K20, 53C42
Keywords:
fully nonlinear, curvature flows

Related publications

inJournal
2004 Repository Open Access
Oliver C. Schnürer and Hartmut R. Schwetlick

Translating solutions for Gauss curvature flows with Neumann boundary conditions

In: Pacific journal of mathematics, 213 (2004) 1, pp. 89-109