{
  "id": "1911.01946",
  "version": "v1",
  "published": "2019-11-05T17:15:15.000Z",
  "updated": "2019-11-05T17:15:15.000Z",
  "title": "Critical exponent for a weakly coupled system of semi-linear $σ$-evolution equations with frictional damping",
  "authors": [
    "Tuan Anh Dao",
    "Trieu Duong Pham"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We are interested in studying the Cauchy problem for a weakly coupled system of semi-linear $\\sigma$-evolution equations with frictional damping. The main purpose of this paper is two-fold. We would like to not only prove the global (in time) existence of small data energy solutions but also indicate the blow-up result for Sobolev solutions when $\\sigma$ is assumed to be any fractional number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-05T17:15:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B33",
      "35L56",
      "35S05"
    ],
    "keywords": [
      "weakly coupled system",
      "evolution equations",
      "frictional damping",
      "critical exponent",
      "semi-linear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}