{
  "id": "2101.00439",
  "version": "v1",
  "published": "2021-01-02T12:00:16.000Z",
  "updated": "2021-01-02T12:00:16.000Z",
  "title": "Higher Regularity for the Signorini Problem for the Homogeneous, Isotropic Lamé System",
  "authors": [
    "Angkana Rüland",
    "Wenhui Shi"
  ],
  "comment": "17 pages, comments welcome",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lam\\'e system. Relying on an observation by Schumann \\cite{Schumann1}, we reduce the question of the solution's and the free boundary regularity for the homogeneous, isotropic Lam\\'e system to the corresponding regularity properties of the obstacle problem for the half-Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-02T12:00:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "signorini problem",
      "higher regularity",
      "isotropic lame system",
      "homogeneous",
      "free boundary regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}