{
  "id": "0910.3744",
  "version": "v2",
  "published": "2009-10-20T05:35:46.000Z",
  "updated": "2009-10-29T05:08:39.000Z",
  "title": "An infinity Laplace equation with gradient term and mixed boundary conditions",
  "authors": [
    "Scott N. Armstrong",
    "Charles K. Smart",
    "Stephanie J. Somersille"
  ],
  "comment": "13 pages, minor mistakes and typos corrected",
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain existence, uniqueness, and stability results for the modified 1-homogeneous infinity Laplace equation \\[ -\\Delta_\\infty u - \\beta |Du| = f, \\] subject to Dirichlet or mixed Dirichlet-Neumann boundary conditions. Our arguments rely on comparing solutions of the PDE to subsolutions and supersolutions of a certain finite difference approximation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-29T05:08:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J70"
    ],
    "keywords": [
      "infinity laplace equation",
      "mixed boundary conditions",
      "gradient term",
      "mixed dirichlet-neumann boundary conditions",
      "finite difference approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.3744A"
    }
  }
}