{
  "id": "math/0111255",
  "version": "v1",
  "published": "2001-11-23T23:30:05.000Z",
  "updated": "2001-11-23T23:30:05.000Z",
  "title": "Propagation of singularities for the wave equation on conic manifolds",
  "authors": [
    "Richard Melrose",
    "Jared Wunsch"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.CA",
    "math.MP"
  ],
  "abstract": "For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation of singularities through the boundary is analyzed. Under appropriate regularity assumptions the diffracted, non-direct, wave produced by the boundary is shown to have Sobolev regularity greater than the incoming wave.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-23T23:30:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "58J47",
      "58J40"
    ],
    "keywords": [
      "conic manifolds",
      "propagation",
      "singularities",
      "appropriate regularity assumptions",
      "sobolev regularity greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11255M"
    }
  }
}