{
  "id": "1711.06996",
  "version": "v1",
  "published": "2017-11-19T10:35:56.000Z",
  "updated": "2017-11-19T10:35:56.000Z",
  "title": "The $L^p$-dissipativity of certain differential and integral operators",
  "authors": [
    "Alberto Cialdea",
    "Vladimir Maz'ya"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The first part of the paper is a survey of some of the results previously obtained by the authors concerning the $L^p$-dissipativity of scalar and matrix partial differential operators. In the second part we give new necessary and, separately, sufficient conditionsfor the $L^p$-dissipativity of the \"complex oblique derivative\" operator. In the case of real coefficients we provide a necessary and sufficient condition. We prove also the $L^p$-positivity for a certain class of integral operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-19T10:35:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B44",
      "47F05",
      "74B05"
    ],
    "keywords": [
      "integral operators",
      "dissipativity",
      "matrix partial differential operators",
      "complex oblique",
      "sufficient conditionsfor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}