{
  "id": "1206.0600",
  "version": "v2",
  "published": "2012-06-04T12:52:55.000Z",
  "updated": "2013-02-04T12:27:08.000Z",
  "title": "Parabolic equations with dynamical boundary conditions and source terms on interfaces",
  "authors": [
    "A. F. M. ter Elst",
    "Martin Meyries",
    "Joachim Rehberg"
  ],
  "comment": "30 pages. Revised version. To appear in Annali di Matematica Pura ed Applicata",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regularity assumptions on the domain and the coefficients are imposed. It is shown that the corresponding linear operator enjoys maximal parabolic regularity in a suitable $L^p$-setting. The linear results suffice to treat also the corresponding nondegenerate quasilinear problems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-04T12:27:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K20",
      "35K59",
      "35M13",
      "35R05"
    ],
    "keywords": [
      "dynamical boundary conditions",
      "parabolic equations",
      "source terms",
      "operator enjoys maximal parabolic regularity",
      "linear operator enjoys maximal parabolic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.0600T"
    }
  }
}