{
  "id": "1005.5208",
  "version": "v1",
  "published": "2010-05-28T03:25:58.000Z",
  "updated": "2010-05-28T03:25:58.000Z",
  "title": "Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth",
  "authors": [
    "Hongjie Dong",
    "Doyoon Kim"
  ],
  "comment": "24 pages, to be submitted",
  "journal": "Communications in Partial Differential Equations, Volume 36, Issue 10, 2011",
  "doi": "10.1080/03605302.2011.571746",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms. The leading coefficients belong to the class of BMO functions with small mean oscillations with respect to $x$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-28T03:25:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak solutions",
      "parabolic equations",
      "controlled growth",
      "quasilinear elliptic",
      "quasilinear divergence form elliptic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.5208D"
    }
  }
}