{
  "id": "1309.2121",
  "version": "v1",
  "published": "2013-09-09T11:47:29.000Z",
  "updated": "2013-09-09T11:47:29.000Z",
  "title": "Duality in convex problems of Bolza over functions of bounded variation",
  "authors": [
    "Teemu Pennanen",
    "Ari-Pekka Perkkiö"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper studies convex problems of Bolza in the conjugate duality framework of Rockafellar. We parameterize the problem by a general Borel measure which has direct economic interpretation in problems of financial economics. We derive a dual representation for the optimal value function in terms of continuous dual arcs and we give conditions for the existence of solutions. Combined with well-known results on problems of Bolza over absolutely continuous arcs, we obtain optimality conditions in terms of extended Hamiltonian conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-09T11:47:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N15",
      "49N25",
      "46N10",
      "49J24",
      "49K24",
      "49J53"
    ],
    "keywords": [
      "bounded variation",
      "paper studies convex problems",
      "optimal value function",
      "general borel measure",
      "direct economic interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.2121P"
    }
  }
}