{
  "id": "1611.08883",
  "version": "v1",
  "published": "2016-11-27T18:32:56.000Z",
  "updated": "2016-11-27T18:32:56.000Z",
  "title": "Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation",
  "authors": [
    "Aday Celik",
    "Mads Kyed"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Existence of non-resonant solutions of time-periodic type are established for the Kuznetsov equation with a periodic forcing term. The equation is considered in a three-dimensional whole-space, half-space and bounded domain, and with both non-homogeneous Dirichlet and Neumann boundary values. A method based on Lp estimates of the corresponding linearization, namely the wave equation with Kelvin-Voigt damping, is employed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-27T18:32:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35B10",
      "35B34"
    ],
    "keywords": [
      "nonlinear wave equation",
      "kuznetsov equation",
      "non-resonant solutions",
      "neumann boundary values",
      "time-periodic type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}