{
  "id": "1602.05617",
  "version": "v1",
  "published": "2016-02-17T22:22:17.000Z",
  "updated": "2016-02-17T22:22:17.000Z",
  "title": "Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise",
  "authors": [
    "Le Chen",
    "Yaozhong Hu",
    "Kamran Kalbasi",
    "David Nualart"
  ],
  "comment": "22 pages, 0 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper studies the stochastic heat equation driven by time fractional Gaussian noise with Hurst parameter $H\\in(0,1/2)$. We establish the Feynman-Kac representation of the solution and use this representation to obtain matching lower and upper bounds for the $L^p(\\Omega)$ moments of the solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-17T22:22:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15"
    ],
    "keywords": [
      "stochastic heat equation driven",
      "rough time fractional gaussian noise",
      "intermittency"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160205617C"
    }
  }
}