{
  "annotation_id": "d0d83e50-4f18-4796-aaac-13f886d24480",
  "date_created": "2026-02-17T05:53:05.066000Z",
  "date_modified": "2026-02-17T05:53:05.066000Z",
  "file_hash": "1602082cb2365d9ddbe6cd1f6f76e1cfb7648b37340c3a29e903979b0bc479c0",
  "private": false,
  "record": {
    "abstract": "We revisit the work [L. Campos and J. Murphy, SIAM J. Math. Anal., 55 (2023), pp. 3807--3843], which classified the dynamics of $H^1$ solutions at the ground state threshold for cubic inhomogeneous nonlinear Schr\\\"odinger equations of the form $i\\partial_t u + \\Delta u + |x|^{-b}|u|^2 u = 0$ in the range $b\\in(0,\\tfrac12)$. By modifying the modulation analysis and using Strichartz estimates in place of pointwise bounds, we extend the result to the full energy-subcritical range $b\\in(0,1)$. This strategy is expected to carry over to other dispersive equations with singular potentials.",
    "arxiv_id": "2601.05341",
    "authors": [
      "Luccas Campos",
      "Luiz Gustavo Farah",
      "Jason Murphy"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Threshold solutions for the $3d$ cubic INLS: the energy-subcritical case",
    "url": "https://arxiv.org/abs/2601.05341",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6e0a9c4-2dbb-436d-8682-e855bfa687f4",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}