{
  "id": "math/0412324",
  "version": "v2",
  "published": "2004-12-16T14:12:16.000Z",
  "updated": "2005-10-24T07:51:26.000Z",
  "title": "The Kato square root problem for mixed boundary value problems",
  "authors": [
    "Andreas Axelsson",
    "Stephen Keith",
    "Alan McIntosh"
  ],
  "comment": "To appear in the Journal of the London Mathematical Society. This arxiv version is distinct from the final version",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We solve the Kato square root problem for second order elliptic systems in divergence form under mixed boundary conditions on Lipschitz domains. This answers a question posed by J.-L. Lions in 1962. To do this we develop a general theory of quadratic estimates and functional calculi for complex perturbations of Dirac-type operators on Lipschitz domains.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-10-24T07:51:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "47B44",
      "47F05"
    ],
    "keywords": [
      "kato square root problem",
      "mixed boundary value problems",
      "second order elliptic systems",
      "lipschitz domains"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1112/S0024610706022873"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 673893,
      "adsabs": "2004math.....12324A"
    }
  }
}