{
  "id": "1809.01192",
  "version": "v1",
  "published": "2018-09-04T18:44:43.000Z",
  "updated": "2018-09-04T18:44:43.000Z",
  "title": "The Maxwell Compactness Property for Bounded Weak Lipschitz Domains with Mixed Boundary Conditions in ND",
  "authors": [
    "Sebastian Bauer",
    "Dirk Pauly",
    "Michael Schomburg"
  ],
  "comment": "key words: Maxwell compactness property, weak Lipschitz domain, Maxwell estimate, Helmholtz decomposition, electro-magneto statics, mixed boundary conditions, vector potentials",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is proved that the space of differential q-forms with weak exterior and co-derivative, is compactly embedded into the space of square integrable q-forms. Mixed boundary conditions on weak Lipschitz domains are considered. Furthermore, canonical applications such as Maxwell estimates, Helmholtz decompositions and a static solution theory are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-04T18:44:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded weak lipschitz domains",
      "mixed boundary conditions",
      "maxwell compactness property",
      "static solution theory",
      "differential q-forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}