{
  "id": "2007.11297",
  "version": "v1",
  "published": "2020-07-22T09:30:04.000Z",
  "updated": "2020-07-22T09:30:04.000Z",
  "title": "Interior $C^2$ estimate for Monge-Ampère equation in dimension two",
  "authors": [
    "Jiakun Liu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain a genuine local $C^2$ estimate for the Monge-Amp\\`ere equation in dimension two, by using the partial Legendre transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-22T09:30:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monge-ampère equation",
      "partial legendre transform",
      "genuine local"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}