{
  "id": "0910.3696",
  "version": "v1",
  "published": "2009-10-19T20:56:34.000Z",
  "updated": "2009-10-19T20:56:34.000Z",
  "title": "Diffractive Theorems for the Wave Equation with Inverse Square Potential",
  "authors": [
    "Randy Z. Qian"
  ],
  "comment": "41 pages, 6 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We first establish the presence of a diffractive front in the fundamental solution of the wave operator with a diract delta intial condition in two dimensional euclidean space caused by the potentials perturbation on the spherical laplacian. This motivates a result which restricts the propagation of singularities for the wave operator with a more general potential to precisely these diffractive fronts higher dimensional euclidean spaces. This is proven using microlocal energy estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-19T20:56:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse square potential",
      "wave equation",
      "diffractive theorems",
      "fronts higher dimensional euclidean spaces",
      "wave operator"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 2009
    },
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhDT.........6Q"
    }
  }
}