{
  "id": "1605.05063",
  "version": "v1",
  "published": "2016-05-17T09:04:32.000Z",
  "updated": "2016-05-17T09:04:32.000Z",
  "title": "Simultaneous Identification of Damping Coefficient and Initial Value in PDEs from boundary measurement",
  "authors": [
    "Zhi-Xue Zhao",
    "Mapundi Kondwani Banda",
    "Bao-Zhu Guo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, the simultaneous identification of damping or anti-damping coefficient and initial value for some PDEs is considered. An identification algorithm is proposed based on the fact that the output of system happens to be decomposed into a product of an exponential function and a periodic function. The former contains information of the damping coefficient, while the latter does not. The convergence and error analysis are also developed. Three examples, namely an anti-stable wave equation with boundary anti-damping, the Schr\\\"odinger equation with internal anti-damping, and two connected strings with middle joint anti-damping, are investigated and demonstrated by numerical simulations to show the effectiveness of the proposed algorithm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T09:04:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "65M32",
      "65N21",
      "93B30"
    ],
    "keywords": [
      "initial value",
      "simultaneous identification",
      "damping coefficient",
      "boundary measurement",
      "middle joint"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}