{
  "id": "1806.10072",
  "version": "v1",
  "published": "2018-06-26T15:48:51.000Z",
  "updated": "2018-06-26T15:48:51.000Z",
  "title": "Harnack inequalities and Hölder estimates for master equations",
  "authors": [
    "A. Biswas",
    "M. De León-Contreras",
    "P. R. Stinga"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP",
    "math.CA",
    "math.FA",
    "math.PR"
  ],
  "abstract": "We show parabolic interior and boundary Harnack inequalities and local H\\\"older continuity for solutions to master equations of the form $(\\partial_t+L)^su=f$ in $\\mathbb{R}\\times\\Omega$, where $L$ is a divergence form elliptic operator and $\\Omega\\subseteq\\mathbb{R}^n$. To this end, we prove that fractional powers of parabolic operators $\\partial_t+L$ can be characterized with a degenerate parabolic extension problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-26T15:48:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "master equations",
      "hölder estimates",
      "degenerate parabolic extension problem",
      "divergence form elliptic operator",
      "boundary harnack inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}