{
  "id": "2212.03744",
  "version": "v1",
  "published": "2022-12-07T16:10:41.000Z",
  "updated": "2022-12-07T16:10:41.000Z",
  "title": "On fractional parabolic equations with Hardy-type potentials",
  "authors": [
    "Veronica Felli",
    "Ana Primo",
    "Giovanni Siclari"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "A classification of local asymptotic profiles and strong unique continuation properties are established for a class of fractional heat equations with a Hardy-type potential, via an Almgren-Poon monotonicity formula combined with a blow-up analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-07T16:10:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R11",
      "35K67",
      "35B40",
      "35B60"
    ],
    "keywords": [
      "fractional parabolic equations",
      "hardy-type potential",
      "strong unique continuation properties",
      "local asymptotic profiles",
      "fractional heat equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}