{
  "id": "2001.06835",
  "version": "v1",
  "published": "2020-01-19T14:23:04.000Z",
  "updated": "2020-01-19T14:23:04.000Z",
  "title": "Scattering For Mass-resonance Nonlinear Schrödinger System in 5D",
  "authors": [
    "Fanfei Meng",
    "Chengbin Xu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we simplify the proof of M. Hamano in \\cite{Hamano2018}, scattering theory of the solution to \\eqref{NLS system}, by using the method from B. Dodson and J. Murphy in \\cite{Dodson2018}. Firstly, we establish a criterion to ensure the solution scatters in $ H^1(\\mathbb{R}^5) \\times H^1(\\mathbb{R}^5) $. In order to verify the correctness of the condition in scattering criterion, we must exclude the concentration of mass near the origin. The interaction Morawetz estimate and Galilean transform characterize a decay estimate, which implies that the mass of the system cannot be concentrated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-19T14:23:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mass-resonance nonlinear schrödinger system",
      "scattering",
      "interaction morawetz estimate",
      "galilean transform",
      "solution scatters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}