{
  "annotation_id": "f4da8a0a-5c8e-41dd-9485-6cd3b34aa3ce",
  "date_created": "2026-02-17T05:53:24.155000Z",
  "date_modified": "2026-02-17T05:53:24.155000Z",
  "file_hash": "4d47c7b0c0649845502f58f2ced4a5689a5eab63f52667ed1abe7bf3446a60d9",
  "private": false,
  "record": {
    "abstract": "We give a proof of the soliton resolution conjecture for the Benjamin--Ono equation, namely every solution with sufficiently regular and decaying initial data can be written as a finite sum of soliton solutions with different velocities up to a radiative remainder term in the long--time asymptotics. We provide a detailed correspondence between the spectral theory of the Lax operator associated to the initial data and the different terms of the soliton resolution expansion. The proof is based on a new use of a representation formula of the solution due to the second author, and on a detailed analysis of the distorted Fourier transform associated to the Lax operator.",
    "arxiv_id": "2601.10488",
    "authors": [
      "Louise Gassot",
      "Patrick G\u00e9rard",
      "Peter D. Miller"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "A proof of the soliton resolution conjecture for the Benjamin--Ono equation",
    "url": "https://arxiv.org/abs/2601.10488",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2bc6a928-80a8-4627-aa93-a4b5b25c90a4",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}