{
  "id": "1107.4597",
  "version": "v1",
  "published": "2011-07-22T19:26:06.000Z",
  "updated": "2011-07-22T19:26:06.000Z",
  "title": "A decay estimate for a wave equation with trapping and a complex potential",
  "authors": [
    "Lars Andersson",
    "Pieter Blue",
    "Jean-Philippe Nicolas"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AP",
    "gr-qc"
  ],
  "abstract": "In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local energy decay) estimate. The equation is a model problem for certain scalar equations appearing in the Maxwell and linearised Einstein systems on the exterior of a rotating black hole.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-22T19:26:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q75"
    ],
    "keywords": [
      "wave equation",
      "complex potential",
      "decay estimate",
      "integrated local energy decay",
      "model problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1093/imrn/rnr237"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 919577,
      "adsabs": "2011arXiv1107.4597A"
    }
  }
}