{
  "id": "1611.03930",
  "version": "v1",
  "published": "2016-11-12T01:40:40.000Z",
  "updated": "2016-11-12T01:40:40.000Z",
  "title": "Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity",
  "authors": [
    "Cătălin I. Cârstea",
    "Gen Nakamura"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Consider a three dimensional piecewise homogeneous anisotropic elastic medium $\\Omega$ which consists of a finite number of bounded Lipschitz domains $D_\\alpha$, with each $D_\\alpha$ a homogeneous elastic medium. One typical example is a finite element model for an ansiotropic elastic medium. Assuming we know the boundary of each $D_\\alpha$, we are concerned with the uniqueness in the inverse boundary value problem of identifying the anisotropic elasticity tensor on $\\Omega$ from a localized Dirichlet to Neumann map given on a part of the boundary $\\partial D_{\\alpha_0}\\subset\\partial\\Omega$ of $D_{\\alpha_0}$ for a single $\\alpha_0$. If we can connect each $D_\\alpha$ to $D_{\\alpha_0}$ by a chain of $\\{D_{\\alpha_i}\\}_{i=1}^n$ such that interfaces between adjacent regions contain a curved portion, we obtain global uniqueness for this inverse boundary value problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-12T01:40:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J57",
      "65M32",
      "75B05"
    ],
    "keywords": [
      "inverse boundary value problem",
      "piecewise homogeneous anisotropic elasticity",
      "homogeneous anisotropic elastic medium",
      "uniqueness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}