{
  "id": "0904.1060",
  "version": "v1",
  "published": "2009-04-07T06:28:50.000Z",
  "updated": "2009-04-07T06:28:50.000Z",
  "title": "Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions",
  "authors": [
    "Yousong Luo"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "In this paper we derive a necessary optimality condition for a local optimal solution of some control problems. These optimal control problems are governed by a semi-linear Vettsel boundary value problem of a linear elliptic equation. The control is applied to the state equation via the boundary and a functional of the control together with the solution of the state equation under such a control will be minimized. A constrain on the solution of the state equation is also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-07T06:28:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K20",
      "49B22",
      "35J25"
    ],
    "keywords": [
      "necessary optimality condition",
      "control problems",
      "venttsel boundary conditions",
      "elliptic equation",
      "state equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1060L"
    }
  }
}