{
  "id": "0807.4455",
  "version": "v2",
  "published": "2008-07-28T13:55:15.000Z",
  "updated": "2008-08-12T10:43:36.000Z",
  "title": "Boundary regularity via Uhlenbeck-Rivière decomposition",
  "authors": [
    "Frank Müller",
    "Armin Schikorra"
  ],
  "comment": "20 pages",
  "doi": "10.1524/anly.2009.1025",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that weak solutions of systems with skew-symmetric structure, which possess a continuous boundary trace, have to be continuous up to the boundary. This applies, e.g., to the H-surface system with bounded H and thus extends an earlier result by P. Strzelecki and proves the natural counterpart of a conjecture by E. Heinz. Methodically, we use estimates below natural exponents of integrability and a recent decomposition result by T.Rivi\\`ere.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-12T10:43:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J45",
      "35B65",
      "53A10"
    ],
    "keywords": [
      "uhlenbeck-rivière decomposition",
      "boundary regularity",
      "natural exponents",
      "weak solutions",
      "natural counterpart"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4455M"
    }
  }
}