{
  "id": "1109.2833",
  "version": "v2",
  "published": "2011-09-13T15:48:09.000Z",
  "updated": "2011-09-14T22:54:05.000Z",
  "title": "Regularity of the density for a stochastic heat equation",
  "authors": [
    "Pejman Mahboubi"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the smoothness of the density of the solution to the nonlinear heat equation u_t=Lu(t,x)+\\sigma(u(t,x))W on a torus with a periodic boundary condition, where L is the generator of a Levy process on the torus, and W is white noise. We use Malliavin calculus techniques to show that the law of the solution has a density with respect to the Lebesgue measure for all t >0 and x in R.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-14T22:54:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic heat equation",
      "regularity",
      "malliavin calculus techniques",
      "nonlinear heat equation",
      "periodic boundary condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.2833M"
    }
  }
}