{
  "id": "2207.03626",
  "version": "v1",
  "published": "2022-07-08T00:40:06.000Z",
  "updated": "2022-07-08T00:40:06.000Z",
  "title": "On strong solutions of time inhomogeneous Itô's equations with \"supercritical'' diffusion and drift",
  "authors": [
    "N. V. Krylov"
  ],
  "comment": "14 pages. arXiv admin note: substantial text overlap with arXiv:2206.07871",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove strong existence of solutions of It\\^o's stochastic time dependent equations with irregular diffusion and drift terms of Morrey class type. In a sense we are treating a ``supercritical'' case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-08T00:40:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60J60"
    ],
    "keywords": [
      "time inhomogeneous itôs equations",
      "strong solutions",
      "stochastic time dependent equations",
      "supercritical",
      "morrey class type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}