{
  "id": "1808.04857",
  "version": "v1",
  "published": "2018-08-14T18:53:23.000Z",
  "updated": "2018-08-14T18:53:23.000Z",
  "title": "A simple approach to the wave uniqueness problem",
  "authors": [
    "Abraham Solar",
    "Sergei Trofimchuk"
  ],
  "comment": "12 pages, submitted",
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "We propose a new approach for proving uniqueness of semi-wavefronts in generally non-monotone monostable reaction-diffusion equations with distributed delay. This allows to solve an open problem concerning the uniqueness of non-monotone (hence, slowly oscillating) semi-wavefronts to the KPP-Fisher equation with delay. Similarly, a broad family of the Mackey-Glass type diffusive equations is shown to possess a unique (up to translation) semi-wavefront for each admissible speed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-14T18:53:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K12",
      "35K57",
      "92D25"
    ],
    "keywords": [
      "wave uniqueness problem",
      "simple approach",
      "mackey-glass type diffusive equations",
      "semi-wavefront",
      "non-monotone monostable reaction-diffusion equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}