{
  "id": "1401.4741",
  "version": "v1",
  "published": "2014-01-19T21:38:22.000Z",
  "updated": "2014-01-19T21:38:22.000Z",
  "title": "Scattering Resonances of Convex Obstacles for general boundary conditions",
  "authors": [
    "Long Jin"
  ],
  "comment": "54 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the distribution of resonances for smooth strictly convex obstacles under general boundary conditions. We show that under a pinched curvature condition for the boundary of the obstacle, the resonances are separated into cubic bands and the distribution in each bands satisfies Weyl's law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-19T21:38:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general boundary conditions",
      "scattering resonances",
      "bands satisfies weyls law",
      "smooth strictly convex obstacles",
      "cubic bands"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2250-3",
      "journal": "Communications in Mathematical Physics",
      "year": 2015,
      "month": "Apr",
      "volume": 335,
      "number": 2,
      "pages": 759
    },
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CMaPh.335..759J"
    }
  }
}