{
  "id": "1711.09770",
  "version": "v1",
  "published": "2017-11-27T15:38:18.000Z",
  "updated": "2017-11-27T15:38:18.000Z",
  "title": "Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data",
  "authors": [
    "Sombuddha Bhattacharyya",
    "Cătălin I. Cârstea"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the inverse boundary value problem for operators of the form $-\\triangle+q$ in an infinite domain $\\Omega=\\mathbb{R}\\times\\omega\\subset\\mathbb{R}^{1+n}$, $n\\geq3$, with a periodic potential $q$. For Dirichlet-to-Neumann data localized on a portion of the boundary of the form $\\Gamma_1=\\mathbb{R}\\times\\gamma_1$, with $\\gamma_1$ being the complement either of a flat or spherical portion of $\\partial\\omega$, we prove that a log-type stability estimate holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-27T15:38:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse boundary value problem",
      "optimal stability estimate",
      "periodic potential",
      "partial data",
      "log-type stability estimate holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}