{
  "id": "2312.14337",
  "version": "v1",
  "published": "2023-12-21T23:45:45.000Z",
  "updated": "2023-12-21T23:45:45.000Z",
  "title": "Remark on the uniqueness of the mild solution of SQG equation",
  "authors": [
    "Tsukasa Iwabuchi",
    "Ryoma Ueda"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the two-dimensional surface quasi-geostrophic equation. Motivated by the uniqueness for the three-dimensional incompressible Navier-Stokes equations, we demonstrate that the uniqueness of the mild solution of the two-dimensional surface quasi-geostrophic equation holds in the scaling critical Lebesgue space with a unique structure of the non-linear term.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-21T23:45:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q86"
    ],
    "keywords": [
      "mild solution",
      "sqg equation",
      "uniqueness",
      "two-dimensional surface quasi-geostrophic equation holds",
      "three-dimensional incompressible navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}