{
  "id": "1504.06988",
  "version": "v1",
  "published": "2015-04-27T09:25:53.000Z",
  "updated": "2015-04-27T09:25:53.000Z",
  "title": "Pointwise decay and smoothness for semilinear elliptic equations and travelling waves",
  "authors": [
    "Marco Cappiello",
    "Fabio Nicola"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive sharp decay estimates and prove holomorphic extensions for the solutions of a class of semilinear nonlocal elliptic equations with linear part given by a sum of Fourier multipliers with finitely smooth symbols at the origin. Applications concern the decay and smoothness of travelling waves for nonlinear evolution equations in fluid dynamics and plasma physics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-27T09:25:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semilinear elliptic equations",
      "travelling waves",
      "pointwise decay",
      "smoothness",
      "semilinear nonlocal elliptic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406988C"
    }
  }
}