{
  "id": "1510.07643",
  "version": "v1",
  "published": "2015-10-26T20:20:09.000Z",
  "updated": "2015-10-26T20:20:09.000Z",
  "title": "Evolution families and maximal regularity for systems of parabolic equations",
  "authors": [
    "Chiara Gallarati",
    "Mark Veraar"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "In this paper we prove maximal $L^p$-regularity for a system of parabolic PDEs, where the elliptic operator $A$ has coefficients which depend on time in a measurable way and are continuous in the space variable. The proof is based on operator-theoretic methods and one of the main ingredients in the proof is the construction of an evolution family on weighted $L^q$-spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-26T20:20:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B37",
      "47D06",
      "34G10",
      "35B65",
      "42B15"
    ],
    "keywords": [
      "maximal regularity",
      "parabolic equations",
      "evolution family",
      "elliptic operator",
      "parabolic pdes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151007643G"
    }
  }
}