{
  "id": "2103.04071",
  "version": "v1",
  "published": "2021-03-06T08:41:43.000Z",
  "updated": "2021-03-06T08:41:43.000Z",
  "title": "Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients",
  "authors": [
    "Seick Kim",
    "Sungjin Lee"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We present a new method for the existence and pointwise estimates of a Green's function of non-divergence form elliptic operator with Dini mean oscillation coefficients. We also present a sharp comparison with the corresponding Green's function for constant coefficients equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-06T08:41:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "greens function",
      "elliptic equations",
      "continuous coefficients",
      "non-divergence form elliptic operator",
      "dini mean oscillation coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}