{
  "id": "0803.1012",
  "version": "v1",
  "published": "2008-03-07T01:52:04.000Z",
  "updated": "2008-03-07T01:52:04.000Z",
  "title": "Quantitative uniqueness for the power of Laplacian with singular coefficients",
  "authors": [
    "Ching-Lung Lin",
    "Sei Nagayasu",
    "Jenn-Nan Wang"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the local behavior of a solution to the $l$th power of Laplacian with singular coefficients in lower order terms. We obtain a bound on the vanishing order of the nontrivial solution. Our proofs use Carleman estimates with carefully chosen weights. We will derive appropriate three-sphere inequalities and apply them to obtain doubling inequalities and the maximal vanishing order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-07T01:52:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular coefficients",
      "quantitative uniqueness",
      "derive appropriate three-sphere inequalities",
      "lower order terms",
      "th power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1012L"
    }
  }
}