{
  "id": "1007.2918",
  "version": "v1",
  "published": "2010-07-17T11:35:07.000Z",
  "updated": "2010-07-17T11:35:07.000Z",
  "title": "Uniqueness of the solution to inverse scattering problem with backscattering data",
  "authors": [
    "A. G. Ramm"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let $q(x)$ be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data $A(-\\beta,\\beta,k)$ $\\forall \\beta\\in S^2$, $\\forall k>0,$ determine $q$ uniquely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-17T11:35:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P25",
      "35R30",
      "81Q05"
    ],
    "keywords": [
      "inverse scattering problem",
      "backscattering data",
      "uniqueness",
      "compactly supported sufficiently smooth function",
      "real-valued compactly supported sufficiently smooth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.2918R"
    }
  }
}