{
  "annotation_id": "15b42431-e619-4f21-a6da-ca8b94c85ddb",
  "date_created": "2026-02-17T05:53:15.441000Z",
  "date_modified": "2026-02-17T05:53:15.441000Z",
  "file_hash": "5c9d9da42fb1ed811fb63464039bf47802bf4d4cf2d225dcc1b6dcd89bf20ba0",
  "private": false,
  "record": {
    "abstract": "We establish two-sided weighted integrability estimates, often referred to as a norm equivalence result, for stochastic differential equations (SDEs) with locally Lipschitz coefficients. As a key ingredient in our approach, we also derive an SDE satisfied by the inverse stochastic flow under reduced regularity assumptions in the globally Lipschitz setting.",
    "arxiv_id": "2601.08294",
    "authors": [
      "Kyo Yamazaki"
    ],
    "categories": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A norm equivalence result for stochastic differential equations with locally Lipschitz coefficients",
    "url": "https://arxiv.org/abs/2601.08294",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2294585c-d58b-4b1b-8440-57fad12bc954",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}