{
  "id": "1201.5146",
  "version": "v1",
  "published": "2012-01-24T22:36:25.000Z",
  "updated": "2012-01-24T22:36:25.000Z",
  "title": "Gradient estimates for parabolic and elliptic systems from linear laminates",
  "authors": [
    "Hongjie Dong"
  ],
  "comment": "31 pages, submitted in Jan. 2011, to appear in ARMA",
  "doi": "10.1007/s00205-012-0501-z",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish several gradient estimates for second-order divergence type parabolic and elliptic systems. The coefficients and data are assumed to be H\\\"older or Dini continuous in the time variable and all but one spatial variables. This type of systems arises from the problems of linearly elastic laminates and composite materials. For the proof, we use Campanato's approach in a novel way. Non-divergence type equations under a similar condition are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-24T22:36:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R05",
      "35J55"
    ],
    "keywords": [
      "gradient estimates",
      "elliptic systems",
      "linear laminates",
      "second-order divergence type parabolic",
      "non-divergence type equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2012,
      "month": "Jul",
      "volume": 205,
      "number": 1,
      "pages": 119
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012ArRMA.205..119D"
    }
  }
}