{
  "id": "1008.3360",
  "version": "v1",
  "published": "2010-08-19T17:43:44.000Z",
  "updated": "2010-08-19T17:43:44.000Z",
  "title": "Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term",
  "authors": [
    "Hongwei Lou"
  ],
  "comment": "22 apges, 1 figures",
  "categories": [
    "math.OC"
  ],
  "abstract": "An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation. Necessary conditions for optimal controls are established by the method of homogenizing spike variation. Results for problems with state constraints are also stated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-19T17:43:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K20",
      "35B27"
    ],
    "keywords": [
      "semilinear parabolic equations",
      "leading term",
      "optimality conditions",
      "semilinear parabolic partial differential equations",
      "optimal control problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.3360L"
    }
  }
}