{
  "id": "2302.01832",
  "version": "v1",
  "published": "2023-02-03T16:11:28.000Z",
  "updated": "2023-02-03T16:11:28.000Z",
  "title": "Remarks on hypoelliptic equations",
  "authors": [
    "Valeria Banica",
    "Nicolas Burq"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Smooth hypoellipticity for scalar equations is quite well understood presently. On the other hand, much remains to be done for systems and/or at different levels of regularity and in particular for $L^1$-hypoellipticity. In this article we provide some examples and counter-examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-03T16:11:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypoelliptic equations",
      "smooth hypoellipticity",
      "scalar equations",
      "counter-examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}