{
  "id": "2403.06696",
  "version": "v1",
  "published": "2024-03-11T13:11:30.000Z",
  "updated": "2024-03-11T13:11:30.000Z",
  "title": "On the smallness of mean oscillations on metric-measure spaces and applications",
  "authors": [
    "Dung Le"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "It will be established that the mean oscillation of a function on a metric-measure space $X\\times Y$ will be small if its mean oscillation on $X$ is small and some simple information on its (partial $Y$) upper-gradient is given. Applications to the regularity and global existence of bounded solutions to strongly coupled elliptic/parabolic systems on thin domains are also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-11T13:11:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q15",
      "35B65",
      "42B37"
    ],
    "keywords": [
      "mean oscillation",
      "metric-measure space",
      "applications",
      "simple information",
      "thin domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}