{
  "id": "2012.10558",
  "version": "v1",
  "published": "2020-12-19T00:32:41.000Z",
  "updated": "2020-12-19T00:32:41.000Z",
  "title": "Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols",
  "authors": [
    "Hung Le"
  ],
  "comment": "22 pages. arXiv admin note: text overlap with arXiv:1810.00248 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider a class of nonlocal equations where the convolution kernel is given by a Bessel potential symbol of order $\\alpha$ for $\\alpha > 1$. Based on the properties of the convolution operator, we apply a global bifurcation technique to show the existence of a highest, even, $2\\pi$-periodic traveling-wave solution. The regularity of this wave is proved to be exactly Lipschitz.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-19T00:32:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76B15",
      "76B03",
      "35S30",
      "35A20"
    ],
    "keywords": [
      "nonlocal equations",
      "maximal height",
      "inhomogeneous symbols",
      "bessel potential symbol",
      "global bifurcation technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}