{
  "id": "2204.06711",
  "version": "v1",
  "published": "2022-04-14T02:49:22.000Z",
  "updated": "2022-04-14T02:49:22.000Z",
  "title": "Asymptotic analysis for elliptic systems in a narrow region",
  "authors": [
    "Zhiwen Zhao"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with investigating the asymptotic behavior of the gradients of solutions to a class of elliptic systems with general boundary data, especially covering the Lam\\'{e} systems, in a narrow region. The novelty of this paper lies in finding the correction term to improve the previous gradient estimates to be a precise asymptotic formula. Through this justification, we capture all singular terms and thus give a fairly sharp characterization in terms of the singularities of the gradients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-14T02:49:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic systems",
      "narrow region",
      "asymptotic analysis",
      "general boundary data",
      "precise asymptotic formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}