{
  "id": "1703.09429",
  "version": "v1",
  "published": "2017-03-28T07:30:06.000Z",
  "updated": "2017-03-28T07:30:06.000Z",
  "title": "On uniqueness results for Dirichlet problems of elliptic systems without DeGiorgi-Nash-Moser regularity",
  "authors": [
    "Pascal Auscher",
    "Moritz Egert"
  ],
  "comment": "22 pages, soumis",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We study uniqueness of Dirichlet problems of second order divergence-form elliptic systems with transversally independent coefficients on the upper half-space in absence of regularity of solutions. To this end, we develop a substitute for the fundamental solution used to invert elliptic operators on the whole space by means of a representation via abstract single layer potentials. We also show that such layer potentials are uniquely determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-28T07:30:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet problems",
      "uniqueness results",
      "degiorgi-nash-moser regularity",
      "second order divergence-form elliptic systems",
      "abstract single layer potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}