{
  "id": "1410.8443",
  "version": "v1",
  "published": "2014-10-30T17:00:40.000Z",
  "updated": "2014-10-30T17:00:40.000Z",
  "title": "Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary conditions",
  "authors": [
    "Pierluigi Colli",
    "M. Hassan Farshbaf-Shaker",
    "Gianni Gilardi",
    "Jürgen Sprekels"
  ],
  "comment": "Key words: Cahn--Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, first and second order optimality conditions, adjoint state system. arXiv admin note: text overlap with arXiv:1212.2359",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we establish second-order sufficient optimality conditions for a boundary control problem that has been introduced and studied by three of the authors in the preprint arXiv:1407.3916. This control problem regards the viscous Cahn--Hilliard equation with possibly singular potentials and dynamic boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-30T17:00:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K50",
      "82C26"
    ],
    "keywords": [
      "dynamic boundary conditions",
      "boundary control problem",
      "viscous cahn-hilliard equation",
      "second-order analysis",
      "establish second-order sufficient optimality conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.8443C"
    }
  }
}