{
  "id": "1412.7608",
  "version": "v1",
  "published": "2014-12-24T06:06:01.000Z",
  "updated": "2014-12-24T06:06:01.000Z",
  "title": "Boundary expansions for minimal graphs in the hyperbolic space",
  "authors": [
    "Qing Han",
    "Xumin Jiang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study expansions near the boundary of solutions to the Dirichlet problem for minimal graphs in the hyperbolic space and characterize the remainders of the expansion by multiple integrals. With such a characterization, we establish optimal asymptotic expansions of solutions with boundary values of finite regularity and demonstrate a slight loss of regularity for nonlocal coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-24T06:06:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic space",
      "minimal graphs",
      "boundary expansions",
      "establish optimal asymptotic expansions",
      "study expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.7608H"
    }
  }
}