{
  "id": "1409.0160",
  "version": "v1",
  "published": "2014-08-30T20:21:12.000Z",
  "updated": "2014-08-30T20:21:12.000Z",
  "title": "BV-regularity of the Boltzmann equation in Non-Convex Domains",
  "authors": [
    "Yan Guo",
    "Chanwoo Kim",
    "Daniela Tonon",
    "Ariane Trescases"
  ],
  "comment": "45 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "Consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a new $W^{1,1}-$trace estimate for the diffuse boundary condition and a delicate construction of and an $\\varepsilon-$tubular neighborhood of the singular set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-30T20:21:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boltzmann equation",
      "diffuse boundary condition",
      "bv-regularity",
      "establish optimal bv estimates",
      "general non-convex domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0160G"
    }
  }
}