{
  "id": "0803.3783",
  "version": "v1",
  "published": "2008-03-26T18:06:01.000Z",
  "updated": "2008-03-26T18:06:01.000Z",
  "title": "Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation",
  "authors": [
    "Stephen Gustafson",
    "Hideo Takaoka",
    "Tai-Peng Tsai"
  ],
  "doi": "10.1063/1.3032578",
  "categories": [
    "math.AP"
  ],
  "abstract": "This note proves the orbital stability in the energy space $H^{1/2}$ of the sum of widely-spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid collisions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-26T18:06:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35Q51",
      "35B35"
    ],
    "keywords": [
      "benjamin-ono equation",
      "avoid collisions",
      "energy space",
      "orbital stability"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}