{
  "id": "math-ph/0608034",
  "version": "v1",
  "published": "2006-08-14T17:15:13.000Z",
  "updated": "2006-08-14T17:15:13.000Z",
  "title": "Invisible obstacles",
  "authors": [
    "A. G. Ramm"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is proved that one can choose a control function on an arbitrary small open subset of the boundary of an obstacle so that the total radiation from this obstacle for a fixed direction of the incident plane wave and for a fixed wave number will be as small as one wishes. The obstacle is called \"invisible\" in this case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-14T17:15:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J05",
      "35R30",
      "74J20",
      "74J25"
    ],
    "keywords": [
      "invisible obstacles",
      "arbitrary small open subset",
      "incident plane wave",
      "total radiation",
      "control function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.ph...8034R"
    }
  }
}