{
  "id": "1401.5294",
  "version": "v2",
  "published": "2014-01-21T12:50:45.000Z",
  "updated": "2014-06-18T07:25:15.000Z",
  "title": "Well-posedness via Monotonicity. An Overview",
  "authors": [
    "Rainer Picard",
    "Sascha Trostorff",
    "Marcus Waurick"
  ],
  "comment": "Thoroughly revised version. Examples corrected",
  "categories": [
    "math.AP",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "The idea of monotonicity (or positive-definiteness in the linear case) is shown to be the central theme of the solution theories associated with problems of mathematical physics. A \"grand unified\" setting is surveyed covering a comprehensive class of such problems. We elaborate the applicability of our scheme with a number examples. A brief discussion of stability and homogenization issues is also provided.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-18T07:25:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35D30",
      "35F16",
      "35F25",
      "35F61",
      "35M33",
      "35Q61",
      "35Q79",
      "35Q74",
      "74Q05",
      "74Q10",
      "74C10",
      "74B05",
      "78M40"
    ],
    "keywords": [
      "monotonicity",
      "well-posedness",
      "linear case",
      "central theme",
      "number examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.5294P"
    }
  }
}