{
  "id": "1607.03610",
  "version": "v1",
  "published": "2016-07-13T07:05:17.000Z",
  "updated": "2016-07-13T07:05:17.000Z",
  "title": "Approximations for a solution to stochastic heat equation with stable noise",
  "authors": [
    "Larysa Pryhara",
    "Georgiy Shevchenko"
  ],
  "comment": "Published at http://dx.doi.org/10.15559/16-VMSTA56 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)",
  "journal": "Modern Stochastics: Theory and Applications 2016, Vol. 3, No. 2, 133-144",
  "doi": "10.15559/16-VMSTA56",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a Cauchy problem for stochastic heat equation driven by a real harmonizable fractional stable process $Z$ with Hurst parameter $H>1/2$ and stability index $\\alpha>1$. It is shown that the approximations for its solution, which are defined by truncating the LePage series for $Z$, converge to the solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-13T07:05:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable noise",
      "approximations",
      "stochastic heat equation driven",
      "real harmonizable fractional stable process",
      "lepage series"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}