{
  "id": "0907.2748",
  "version": "v1",
  "published": "2009-07-16T04:52:12.000Z",
  "updated": "2009-07-16T04:52:12.000Z",
  "title": "Explicit solutions of G-heat equation with a class of initial conditions by G-Brownian motion",
  "authors": [
    "Mingshang Hu"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We obtain the viscosity solution of G-heat equation with the initial condition $\\phi(x)=x^{n}$ for each integer $n\\geq1$ using the method of G-Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-16T04:52:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60H05",
      "60H30",
      "60E05",
      "60E07",
      "35K55",
      "49L25"
    ],
    "keywords": [
      "g-brownian motion",
      "g-heat equation",
      "initial condition",
      "explicit solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.2748H"
    }
  }
}