{
  "id": "1307.2167",
  "version": "v1",
  "published": "2013-07-08T17:06:55.000Z",
  "updated": "2013-07-08T17:06:55.000Z",
  "title": "The Cauchy problem and Hadamard's example in the ring",
  "authors": [
    "O. E. Yaremko"
  ],
  "comment": "4 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Integral representation for harmonic function in the ring is constructed in this work. We prove the existence and uniqueness of solutions of the Cauchy problem for the Laplace equation in the ring. Integral representation for the solution of the Cauchy problem was found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-08T17:06:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cauchy problem",
      "hadamards example",
      "integral representation",
      "harmonic function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.2167Y"
    }
  }
}