{
  "id": "1709.09487",
  "version": "v1",
  "published": "2017-09-27T13:16:30.000Z",
  "updated": "2017-09-27T13:16:30.000Z",
  "title": "Boundary Regularity for the $\\infty$-Heat Equation",
  "authors": [
    "Nikolai Ubostad"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the boundary regularity for the normalised $\\infty$-heat equation $u_t = \\Delta_{\\infty}^Nu$ in arbitrary domains. Perron's Method is used for constructing solutions. We characterize regular boundary points with barrier functions, and prove an Exterior Ball result. A Petrovsky-like criterion is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-27T13:16:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat equation",
      "boundary regularity",
      "exterior ball result",
      "characterize regular boundary points",
      "perrons method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}