{
  "id": "1707.02616",
  "version": "v1",
  "published": "2017-07-09T18:34:06.000Z",
  "updated": "2017-07-09T18:34:06.000Z",
  "title": "Scattering in the energy space for Boussinesq equations",
  "authors": [
    "Claudio Muñoz",
    "Felipe Poblete",
    "Juan C. Pozo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. Our result does not require any assumption on the power of the nonlinearity, working even for the supercritical range of scattering. No parity assumption on the initial data is needed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-09T18:34:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q51"
    ],
    "keywords": [
      "energy space",
      "generalized 1d boussinesq equation",
      "space-time light cone",
      "scattering",
      "slightly proper subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}