{
  "id": "1612.01419",
  "version": "v1",
  "published": "2016-12-05T16:24:23.000Z",
  "updated": "2016-12-05T16:24:23.000Z",
  "title": "On a class of inverse problems for a heat equation with involution perturbation",
  "authors": [
    "Nasser Al-Salti",
    "Mokhtar Kirane",
    "Berikbol T. Torebek"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "A class of inverse problems for a heat equation with involution perturbation is considered using four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-periodic boundary conditions. Proved theorems on existence and uniqueness of solutions to these problems are presented. Solutions are obtained in the form of series expansion using a set of appropriate orthogonal basis for each problem. Convergence of the obtained solutions is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-05T16:24:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35K05",
      "39B52"
    ],
    "keywords": [
      "heat equation",
      "inverse problems",
      "involution perturbation",
      "appropriate orthogonal basis",
      "anti-periodic boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}