{
  "id": "1112.3401",
  "version": "v1",
  "published": "2011-12-15T00:59:51.000Z",
  "updated": "2011-12-15T00:59:51.000Z",
  "title": "Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation",
  "authors": [
    "Zhen-Qing Chen",
    "Panki Kim",
    "Renming Song"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily symmetric) Markov processes are stable under non-local Feynman-Kac perturbations. This class of processes includes, among others, (reflected) symmetric stable-like processes on closed $d$-sets in $\\bR^d$, killed symmetric stable processes, censored stable processes in $C^{1, 1}$ open sets as well as stable processes with drifts in bounded $C^{1, 1}$ open sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-15T00:59:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J35",
      "47G20",
      "60J75",
      "47D07",
      "47D08"
    ],
    "keywords": [
      "dirichlet heat kernel estimates",
      "non-local operators",
      "stable processes",
      "open sets",
      "non-local feynman-kac perturbations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.3401C"
    }
  }
}