{
  "id": "1307.0186",
  "version": "v1",
  "published": "2013-06-30T08:51:27.000Z",
  "updated": "2013-06-30T08:51:27.000Z",
  "title": "The regular part of second-order differential sectorial forms with lower-order terms",
  "authors": [
    "A. F. M. ter Elst",
    "Manfred Sauter"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We present a formula for the regular part of a sectorial form that represents a general linear second-order differential expression that may include lower-order terms. The formula is given in terms of the original coefficients. It shows that the regular part is again a differential sectorial form and allows to characterise when also the singular part is sectorial. While this generalises earlier results on pure second-order differential expressions, it also shows that lower-order terms truly introduce new behaviour.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-30T08:51:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A07",
      "35J70"
    ],
    "keywords": [
      "second-order differential sectorial forms",
      "lower-order terms",
      "regular part",
      "general linear second-order differential expression",
      "pure second-order differential expressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.0186T"
    }
  }
}