{
  "id": "1808.00224",
  "version": "v1",
  "published": "2018-08-01T08:31:27.000Z",
  "updated": "2018-08-01T08:31:27.000Z",
  "title": "Well-posedness for a general class of differential inclusions",
  "authors": [
    "Sascha Trostorff"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We consider an abstract class of differential inclusions, which covers differential-algebraic and non-autonomous problems as well as problems with delay. Under weak assumptions on the operators involved, we prove the well-posedness of those differential inclusions in a pure Hilbert space setting. Moreover, we study the causality of the associated solution operator. The theory is illustrated by an application to a semistatic quasilinear variant of Maxwell's equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-01T08:31:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34G25",
      "46N20",
      "35F60"
    ],
    "keywords": [
      "differential inclusions",
      "general class",
      "well-posedness",
      "semistatic quasilinear variant",
      "associated solution operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}