{
  "id": "1806.01692",
  "version": "v1",
  "published": "2018-06-05T13:50:25.000Z",
  "updated": "2018-06-05T13:50:25.000Z",
  "title": "Global existence for the Boltzmann equation in $L^r_v L^\\infty_t L^\\infty_x$ spaces",
  "authors": [
    "Koya Nishimura"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Boltzmann equation near a global Maxwellian. We prove the global existence of a unique mild solution with initial data which belong to the $L^r_v L^\\infty_t L^\\infty_x $ spaces where $r \\in (1,\\infty]$ by using the excess conservation laws and entropy inequality introduced in [5].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-05T13:50:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boltzmann equation",
      "global existence",
      "excess conservation laws",
      "unique mild solution",
      "entropy inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}