{
  "id": "0909.0080",
  "version": "v2",
  "published": "2009-09-01T03:47:12.000Z",
  "updated": "2009-10-06T08:20:38.000Z",
  "title": "Generalized wave operators for a system of nonlinear wave equations in three space dimensions",
  "authors": [
    "H. Kubo",
    "K. Kubota"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with the final value problem for a system of nonlinear wave equations. The main issue is to solve the problem for the case where the nonlinearity is of a long range type. By assuming that the solution is spherically symmetric, we shall show global solvability of the final value problem around a suitable final state, and hence the generalized wave operator and long range scattering operator can be constructed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-06T08:20:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70",
      "35B40"
    ],
    "keywords": [
      "nonlinear wave equations",
      "generalized wave operator",
      "space dimensions",
      "final value problem",
      "long range scattering operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.0080K"
    }
  }
}