{
  "id": "2303.11238",
  "version": "v1",
  "published": "2023-03-20T16:23:41.000Z",
  "updated": "2023-03-20T16:23:41.000Z",
  "title": "On weak solutions of time inhomogeneous Itô's equations with VMO diffusion and Morrey drift",
  "authors": [
    "N. V. Krylov"
  ],
  "comment": "34 pages. arXiv admin note: substantial text overlap with arXiv:2206.07871",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove the existence of weak solutions of It\\^o's stochastic time dependent equations with irregular diffusion and drift terms of Morrey spaces. Weak uniqueness and some results pertaining to strong solutions are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-20T16:23:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60J60"
    ],
    "keywords": [
      "time inhomogeneous itôs equations",
      "weak solutions",
      "morrey drift",
      "vmo diffusion",
      "stochastic time dependent equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}