{
  "id": "1502.05159",
  "version": "v1",
  "published": "2015-02-18T09:08:27.000Z",
  "updated": "2015-02-18T09:08:27.000Z",
  "title": "Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials",
  "authors": [
    "Pierluigi Colli",
    "Takeshi Fukao"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its continuous dependence on the data are proved using a suitable setting for the conservation of a total mass in the bulk plus the boundary. A very general class of double-well like potentials is allowed. Moreover, some further regularity is obtained to guarantee the strong solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-18T09:08:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K61",
      "35K25",
      "35D30",
      "35D35",
      "80A22"
    ],
    "keywords": [
      "dynamic boundary condition",
      "cahn-hilliard type",
      "singular potentials",
      "partial differential equations",
      "bulk plus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}