{
  "id": "math/0302345",
  "version": "v1",
  "published": "2003-02-27T18:06:27.000Z",
  "updated": "2003-02-27T18:06:27.000Z",
  "title": "Translating solutions for Gauss curvature flows with Neumann boundary conditions",
  "authors": [
    "Oliver C. Schnuerer",
    "Hartmut R. Schwetlick"
  ],
  "comment": "22 pages, 6 figures; submitted to Pacific J. Math",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-27T18:06:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "35K20",
      "53C42"
    ],
    "keywords": [
      "neumann boundary condition",
      "translating solutions",
      "logarithmic gauss curvature flow subject",
      "non-parametric logarithmic gauss curvature flow",
      "uniform oscillation estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2345S"
    }
  }
}