{
  "id": "1311.5466",
  "version": "v1",
  "published": "2013-11-21T16:23:03.000Z",
  "updated": "2013-11-21T16:23:03.000Z",
  "title": "G-Convergence, Dirichlet to Neumann maps and invisibility",
  "authors": [
    "Daniel Faraco",
    "Yaroslav Kurylev",
    "Alberto Ruiz"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish optimal conditions under which the G-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials from [ Greenleaf, A.; Kurylev, Y.; Lassas, M.; Uhlmann, G. Approximate quantum and acoustic cloaking. J. Spectr. Theory (2011), no. 1, 27--80.] are independent of the source.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-21T16:23:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35B27",
      "35J15",
      "45Q05",
      "42B37",
      "35J67"
    ],
    "keywords": [
      "neumann maps",
      "g-convergence",
      "invisibility",
      "linear elliptic operators implies",
      "approximate cloaking isotropic materials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5466F"
    }
  }
}