{
  "id": "1203.1218",
  "version": "v1",
  "published": "2012-03-06T15:04:50.000Z",
  "updated": "2012-03-06T15:04:50.000Z",
  "title": "Stability result for a time dependent potential in a waveguide",
  "authors": [
    "Patricia Gaitan",
    "Yavar Kian"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the operator $H:= \\partial_t -\\Delta+V$ in 2D or 3D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the time dependent part of the potential for this particular geometry. Two cases are considered: the bounded waveguide with mixed Dirichlet and Neumann conditions and the open waveguide with Dirichlet boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-06T15:04:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K20"
    ],
    "keywords": [
      "time dependent potential",
      "stability result",
      "adapted global carleman estimate",
      "dirichlet boundary conditions",
      "singular weight functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1218G"
    }
  }
}