{
  "id": "1510.04247",
  "version": "v1",
  "published": "2015-10-14T19:33:40.000Z",
  "updated": "2015-10-14T19:33:40.000Z",
  "title": "Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field",
  "authors": [
    "Mourad Bellassoued"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1006.0149",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the inverse problem of determining on a compact Riemannian manifold the electric potential or the magnetic field in a Schr\\\"odinger equation with Dirichlet data from measured Neumann boundary observations. This information is enclosed in the dynamical Dirichlet-to-Neumann map associated to the magnetic Schr\\\"odinger equation. We prove that the knowledge of the Dirichlet-to-Neumann map for the Schr\\\"odinger equation uniquely determines the magnetic field and the electric potential and we establish H\\\"older-type stability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-14T19:33:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "dynamical schrödinger equation",
      "stable determination",
      "electric potential",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151004247B"
    }
  }
}