{
  "id": "1809.06744",
  "version": "v1",
  "published": "2018-09-17T16:05:30.000Z",
  "updated": "2018-09-17T16:05:30.000Z",
  "title": "Global existence for weakly coupled systems of semi-linear structurally damped $σ$-evolution models with different power nonlinearities",
  "authors": [
    "Tuan Anh Dao"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1808.02706",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the Cauchy problems for weakly coupled systems of semi-linear structurally damped $\\sigma$-evolution models with different power nonlinearities. By assuming additional $L^m$ regularity on the initial data, with $m \\in [1,2)$, we use $(L^m \\cap L^2)- L^2$ and $L^2- L^2$ estimates for solutions to the corresponding linear Cauchy problems to prove the global (in time) existence of small data Sobolev solutions to the weakly coupled systems of semi-linear models from suitable function spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-17T16:05:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L30",
      "35L56",
      "35S05"
    ],
    "keywords": [
      "weakly coupled systems",
      "evolution models",
      "power nonlinearities",
      "global existence",
      "semi-linear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}