{
  "id": "2207.01655",
  "version": "v1",
  "published": "2022-07-04T18:09:04.000Z",
  "updated": "2022-07-04T18:09:04.000Z",
  "title": "Local regularity estimates for general discrete dynamic programming equations",
  "authors": [
    "Ángel Arroyo",
    "Pablo Blanc",
    "Mikko Parviainen"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain an analytic proof for asymptotic H\\\"older estimate and Harnack's inequality for solutions to a discrete dynamic programming equation. The results also generalize to functions satisfying Pucci-type inequalities for discrete extremal operators. Thus the results cover a quite general class of equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-04T18:09:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35J15",
      "35J92",
      "91A50"
    ],
    "keywords": [
      "general discrete dynamic programming equations",
      "local regularity estimates",
      "discrete extremal operators",
      "functions satisfying pucci-type inequalities",
      "analytic proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}