{
  "id": "2107.12290",
  "version": "v1",
  "published": "2021-07-26T15:59:56.000Z",
  "updated": "2021-07-26T15:59:56.000Z",
  "title": "Operators arising as Second Variation of optimal control problems and their spectral asymptotics",
  "authors": [
    "Stefano Baranzini"
  ],
  "comment": "25 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "The second variation of an optimal control problems satisfying Legendre strong condition can be written in the form $1+K$ where $K$ is a compact operator. In the paper a characterization of the compact part $K$ is given and the asymptotic for the eigenvalues is computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-26T15:59:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal control problems",
      "second variation",
      "spectral asymptotics",
      "satisfying legendre strong condition",
      "operators arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}