{
  "id": "1311.1022",
  "version": "v1",
  "published": "2013-11-05T12:04:58.000Z",
  "updated": "2013-11-05T12:04:58.000Z",
  "title": "A maximum principle for systems with variational structure and an application to standing waves",
  "authors": [
    "Nicholas D. Alikakos",
    "Giorgio Fusco"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish via variational methods the existence of a standing wave together with an estimate on the convergence to its asymptotic states for a bistable system of partial differential equations on a periodic domain. The main tool is a replacement lemma which has as a corollary a maximum principle for local minimizers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-05T12:04:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximum principle",
      "standing wave",
      "variational structure",
      "application",
      "partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1022A"
    }
  }
}