{
  "id": "2408.13625",
  "version": "v1",
  "published": "2024-08-24T16:39:36.000Z",
  "updated": "2024-08-24T16:39:36.000Z",
  "title": "Stable determination of the Winkler subgrade coefficient in a nanoplate",
  "authors": [
    "G. Alessandrini",
    "A. Morassi",
    "E. Rosset",
    "E. Sincich",
    "S. Vessella"
  ],
  "comment": "24 pages. arXiv admin note: text overlap with arXiv:1502.04842",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a simplified strain gradient elasticity theory for isotropic materials, under the Kirchhoff-Love kinematic assumptions in infinitesimal deformation. We prove a global H\\\"older stability estimate of the subgrade coefficient by performing a single interior measurement of the transverse deflection of the nanoplate induced by a load concentrated at one point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-24T16:39:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35J25",
      "86A22"
    ],
    "keywords": [
      "winkler subgrade coefficient",
      "stable determination",
      "simplified strain gradient elasticity theory",
      "single interior measurement",
      "kirchhoff-love kinematic assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}