{
  "id": "1706.03642",
  "version": "v1",
  "published": "2017-06-09T09:27:00.000Z",
  "updated": "2017-06-09T09:27:00.000Z",
  "title": "Propagating speeds of bistable transition fronts in spatially periodic media",
  "authors": [
    "Hongjun Guo"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1302.4817, arXiv:1408.0723 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with the propagating speeds of transition fronts in $R^N$ for spatially periodic bistable reaction-diffusion equations. The notion of transition fronts generalizes the standard notions of traveling fronts. Under the a priori assumption that there exist pulsating fronts for every direction $e$ with nonzero speeds, we show some continuity and differentiability properties of the front speeds and profiles with respect to the direction $e$. Finally, we prove that the propagating speed of any transition front is larger than the infimum of speeds of pulsating fronts and less than the supremum of speeds of pulsating fronts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-09T09:27:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spatially periodic media",
      "bistable transition fronts",
      "propagating speeds",
      "pulsating fronts",
      "transition fronts generalizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}