{
  "id": "1902.08573",
  "version": "v1",
  "published": "2019-02-18T09:04:57.000Z",
  "updated": "2019-02-18T09:04:57.000Z",
  "title": "Conditional stability for backward parabolic operators with Osgood continuous coefficients",
  "authors": [
    "Daniele Casagrande",
    "Daniele Del Santo",
    "Martino Prizzi"
  ],
  "comment": "32 pages. arXiv admin note: substantial text overlap with arXiv:1801.07890",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove continuous dependence on initial data for a backward parabolic operator whose leading coefficients are Osgodd continuous in time. This result fills the gap between uniqueness and continuity results obtained so far.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-18T09:04:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B30",
      "34A12",
      "35A02"
    ],
    "keywords": [
      "backward parabolic operator",
      "osgood continuous coefficients",
      "conditional stability",
      "initial data",
      "continuity results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}