{
  "id": "1904.02014",
  "version": "v1",
  "published": "2019-04-03T14:07:54.000Z",
  "updated": "2019-04-03T14:07:54.000Z",
  "title": "A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems",
  "authors": [
    "Bernd Hofmann",
    "Peter Mathé"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We study Tikhonov regularization for certain classes of non-linear ill-posed operator equations in Hilbert space. Emphasis is on the case where the solution smoothness fails to have a finite penalty value, as in the preceding study 'Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales'. Inverse Problems 34(1), 2018, by the same authors. Optimal order convergence rates are established for the specific a priori parameter choice, as used for the corresponding linear equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-03T14:07:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65J22",
      "65J20"
    ],
    "keywords": [
      "priori parameter choice",
      "non-linear ill-posed problems",
      "oversmoothing penalty",
      "optimal order convergence rates",
      "non-linear ill-posed operator equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}