{
  "id": "1305.4495",
  "version": "v1",
  "published": "2013-05-20T10:51:25.000Z",
  "updated": "2013-05-20T10:51:25.000Z",
  "title": "Right inverses for partial differential operators on spaces of Whitney functions",
  "authors": [
    "Tomasz Ciaś"
  ],
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "For v\\in R^n let K be a compact set in R^n containing a suitable smooth surface and such that the intersection {tv+x:t\\in R}\\cap K is a closed interval or a single point for all x\\in K. We prove that every linear first order differential operator with constant coefficients in direction v on space of Whitney functions E(K) admits a continuous linear right inverse.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-20T10:51:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35E99",
      "35F05",
      "46E10"
    ],
    "keywords": [
      "partial differential operators",
      "whitney functions",
      "linear first order differential operator",
      "continuous linear right inverse",
      "suitable smooth surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.4495C"
    }
  }
}