{
  "id": "1204.1251",
  "version": "v2",
  "published": "2012-04-05T15:08:51.000Z",
  "updated": "2013-09-02T09:04:06.000Z",
  "title": "Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type",
  "authors": [
    "Ciprian G. Gal",
    "Martin Meyries"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We investigate classical solutions of nonlinear elliptic equations with two classes of dynamical boundary conditions, of reactive and reactive-diffusive type. In the latter case it is shown that well-posedness is to a large extent independent of the coupling with the elliptic equation. For both types of boundary conditions we consider blow-up, global existence, global attractors and convergence to single equilibria.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-02T09:04:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35K58",
      "35K59",
      "37L30"
    ],
    "keywords": [
      "dynamical boundary conditions",
      "nonlinear elliptic problems",
      "reactive-diffusive type",
      "nonlinear elliptic equations",
      "large extent independent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.1251G"
    }
  }
}