{
  "id": "0801.0660",
  "version": "v1",
  "published": "2008-01-04T18:15:41.000Z",
  "updated": "2008-01-04T18:15:41.000Z",
  "title": "Resonances and balls in obstacle scattering with Neumann boundary conditions",
  "authors": [
    "T. J. Christiansen"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider scattering by an obstacle in $\\Real^d$, $d\\geq 3 $ odd. We show that for the Neumann Laplacian if an obstacle has the same resonances as the ball of radius $\\rho$ does, then the obstacle is a ball of radius $\\rho$. We give related results for obstacles which are disjoint unions of several balls of the same radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-04T18:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P25",
      "58J50",
      "35J25"
    ],
    "keywords": [
      "neumann boundary conditions",
      "obstacle scattering",
      "resonances",
      "neumann laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}