{
  "id": "2109.10668",
  "version": "v1",
  "published": "2021-09-22T11:56:41.000Z",
  "updated": "2021-09-22T11:56:41.000Z",
  "title": "Distributed optimal control problems for a class of elliptic hemivariational inequalities with a parameter and its asymptotic behavior",
  "authors": [
    "Claudia M. Gariboldi",
    "Domingo A. Tarzia"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2106.04702",
  "journal": "Communications in Nonlinear Science and Numerical Simulation-104 No.106027 (2021), 1-9",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we study optimal control problems on the internal energy for a system governed by a class of elliptic boundary hemivariational inequalities with a parameter. The system has been originated by a steady-state heat conduction problem with non-monotone multivalued subdifferential boundary condition on a portion of the boundary of the domain described by the Clarke generalized gradient of a locally Lipschitz function. We prove an existence result for the optimal controls and we show an asymptotic result for the optimal controls and the system states, when the parameter, like a heat transfer coefficient, tends to infinity on a portion of the boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-22T11:56:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65",
      "35J87",
      "49J20",
      "49J45"
    ],
    "keywords": [
      "distributed optimal control problems",
      "elliptic hemivariational inequalities",
      "asymptotic behavior",
      "multivalued subdifferential boundary condition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}