{
  "id": "1209.4044",
  "version": "v1",
  "published": "2012-09-18T17:51:16.000Z",
  "updated": "2012-09-18T17:51:16.000Z",
  "title": "Sobolev Spaces and Elliptic Theory on Unbounded Domains in $\\mathbb R^n$",
  "authors": [
    "Phillip S. Harrington",
    "Andrew Raich"
  ],
  "comment": "47 pages",
  "journal": "Adv. Differential Equations, 19(7/8): 635-692, 2014",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "In this article, we develop the theory of weighted $L^2$ Sobolev spaces on unbounded domains in $\\mathbb R^n$. As an application, we establish the elliptic theory for elliptic operators and prove trace and extension results analogous to the bounded, unweighted case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-18T17:51:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "35J15",
      "35J25",
      "46B70"
    ],
    "keywords": [
      "elliptic theory",
      "sobolev spaces",
      "unbounded domains",
      "elliptic operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4044H"
    }
  }
}