{
  "id": "1905.05577",
  "version": "v1",
  "published": "2019-05-14T13:12:01.000Z",
  "updated": "2019-05-14T13:12:01.000Z",
  "title": "Higher integrability for parabolic systems with Orlicz growth",
  "authors": [
    "Peter Hästö",
    "Jihoon Ok"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with $\\phi$-growth, where $\\varphi=\\varphi(t)$ is a general Orlicz function. The parabolic systems need be neither degenerate nor singular. Our result is a generalized version of the one of J. Kinnunen and J. Lewis [Duke Math. J. 102 (2000), no. 2, 253--271] for the parabolic $p$-Laplace systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-14T13:12:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N60",
      "35A15",
      "35B65",
      "35J62",
      "46E35"
    ],
    "keywords": [
      "parabolic systems",
      "higher integrability",
      "orlicz growth",
      "general orlicz function",
      "spatial gradient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}