{
  "id": "0803.3683",
  "version": "v2",
  "published": "2008-03-26T09:57:43.000Z",
  "updated": "2008-03-26T23:11:34.000Z",
  "title": "Asymptotic stability of solitons for the Benjamin-Ono equation",
  "authors": [
    "C. E. Kenig",
    "Y. Martel"
  ],
  "comment": "Submitted for publication on December 26, 2007",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the asymptotic stability of the family of solitons of the Benjamin-Ono equation in the energy space. The proof is based on a Liouville property for solutions close to the solitons for this equation, in the spirit of Martel and Merle (arXiv:0706.1174v2). As a corollary of the proofs, we obtain the asymptotic stability of exact multi-solitons.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-26T23:11:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35Q51",
      "35B40"
    ],
    "keywords": [
      "asymptotic stability",
      "benjamin-ono equation",
      "exact multi-solitons",
      "solutions close",
      "energy space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3683K"
    }
  }
}