{
  "id": "1003.1676",
  "version": "v4",
  "published": "2010-03-08T17:08:26.000Z",
  "updated": "2011-06-13T06:33:06.000Z",
  "title": "On Some Microlocal Properties of the Range of a Pseudo-Differential Operator of Principal Type",
  "authors": [
    "Jens Wittsten"
  ],
  "comment": "With 1 figure. Corrected typos. Rewrote parts of Section 2 to account for new language. Corrected an erroneous comment following Theorem 2.19",
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this paper is to obtain microlocal analogues of results by L. H \\\"ormander about inclusion relations between the ranges of first order differential operators with coefficients in $C^\\infty$ which fail to be locally solvable. Using similar techniques, we shall study the properties of the range of classical pseudo-differential operators of principal type which fail to satisfy condition $(\\Psi)$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-06-13T06:33:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "35A01",
      "58J40",
      "47G30"
    ],
    "keywords": [
      "principal type",
      "microlocal properties",
      "first order differential operators",
      "similar techniques",
      "inclusion relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1676W"
    }
  }
}