{
  "id": "math/0611058",
  "version": "v2",
  "published": "2006-11-02T17:04:44.000Z",
  "updated": "2007-04-17T19:03:45.000Z",
  "title": "Boundedness of the Hessian of a biharmonic function in a convex domain",
  "authors": [
    "Svitlana Mayboroda",
    "Vladimir Maz'ya"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Dirichlet problem for the biharmonic equation on an arbitrary convex domain and prove that the second derivatives of the variational solution are bounded in all dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-17T19:03:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biharmonic function",
      "boundedness",
      "arbitrary convex domain",
      "dirichlet problem",
      "second derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11058M"
    }
  }
}