Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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