{
  "id": "1303.6626",
  "version": "v1",
  "published": "2013-03-26T12:13:19.000Z",
  "updated": "2013-03-26T12:13:19.000Z",
  "title": "Dirichlet Heat Kernel Estimates for Subordinate Brownian Motions with Gaussian Components",
  "authors": [
    "Zhen-Qing Chen",
    "Panki Kim",
    "Renming Song"
  ],
  "comment": "27 pages. arXiv admin note: text overlap with arXiv:1303.6449",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels, in C^{1,1} open sets D in R^d, of a large class of subordinate Brownian motions with Gaussian components. When D is bounded, our sharp two-sided Dirichlet heat kernel estimates hold for all t>0. Integrating the heat kernel estimates with respect to the time variable t, we obtain sharp two-sided estimates for the Green functions, in bounded C^{1,1} open sets, of such subordinate Brownian motions with Gaussian components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-26T12:13:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J35",
      "47G20",
      "60J75",
      "47D07"
    ],
    "keywords": [
      "dirichlet heat kernel estimates",
      "subordinate brownian motions",
      "gaussian components",
      "heat kernel estimates hold",
      "two-sided dirichlet heat kernel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6626C"
    }
  }
}