{
  "id": "1304.0048",
  "version": "v1",
  "published": "2013-03-30T00:00:19.000Z",
  "updated": "2013-03-30T00:00:19.000Z",
  "title": "On $L^p$ resolvent estimates for elliptic operators on compact manifolds",
  "authors": [
    "Katsiaryna Krupchyk",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We prove uniform $L^p$ estimates for resolvents of higher order elliptic self-adjoint differential operators on compact manifolds without boundary, generalizing a corresponding resul of [3] in the case of Laplace-- Beltrami operators on Riemannian manifolds. In doing so, we follow the methods, developed in [1] very closely. We also show that spectral regions in our $L^p$ resolvent estimates are optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-30T00:00:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J30",
      "58J50"
    ],
    "keywords": [
      "compact manifolds",
      "resolvent estimates",
      "elliptic operators",
      "order elliptic self-adjoint differential operators",
      "higher order elliptic self-adjoint differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0048K"
    }
  }
}