{
  "id": "1601.01516",
  "version": "v1",
  "published": "2016-01-07T12:43:50.000Z",
  "updated": "2016-01-07T12:43:50.000Z",
  "title": "Parabolic Obstacle Problems. Quasi-convexity and Regularity",
  "authors": [
    "Ioannis Athanasopoulos",
    "Luis Caffarelli",
    "Emmanouil Milakis"
  ],
  "comment": "48 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain space-time regularity of the corresponding free boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-07T12:43:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R35"
    ],
    "keywords": [
      "parabolic obstacle problems",
      "quasi-convexity",
      "parabolic type",
      "optimal regularity",
      "space-time regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160101516A"
    }
  }
}