{
  "id": "1005.4239",
  "version": "v1",
  "published": "2010-05-23T23:51:26.000Z",
  "updated": "2010-05-23T23:51:26.000Z",
  "title": "Boundary Behavior of Non-Negative Solutions of the Heat Equation in Sub-Riemannian Spaces",
  "authors": [
    "Isidro H Munive"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove Fatou type theorems for solutions of the heat equation in sub- Riemannian spaces. The doubling property of L-caloric measure, the Dahlberg estimate, the local comparison theorem, among other results, are established here. A backward Harnack inequality is proved for non-negative solutions vanishing in the lateral boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-23T23:51:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K10",
      "35B05",
      "31B25"
    ],
    "keywords": [
      "heat equation",
      "non-negative solutions",
      "boundary behavior",
      "sub-riemannian spaces",
      "fatou type theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4239M"
    }
  }
}