{
  "id": "1804.07970",
  "version": "v1",
  "published": "2018-04-21T14:19:27.000Z",
  "updated": "2018-04-21T14:19:27.000Z",
  "title": "Spatial-Homogeneity of Stable Solutions of Almost-Periodic Parabolic Equations with Concave Nonlinearity",
  "authors": [
    "Yi Wang",
    "Jianwei Xiao",
    "Dun Zhou"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the spatial-homogeneity of stable solutions of almost-periodic parabolic equations. It is shown that if the nonlinearity satisfies a concave or convex condition, then any linearly stable almost automorphic solution is spatially-homogeneous; and moreover, the frequency module of the solution is contained in that of the nonlinearity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-21T14:19:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K57",
      "34D20",
      "35B40",
      "35B15"
    ],
    "keywords": [
      "almost-periodic parabolic equations",
      "stable solutions",
      "concave nonlinearity",
      "spatial-homogeneity",
      "nonlinearity satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}