{
  "id": "math/0703195",
  "version": "v1",
  "published": "2007-03-07T13:21:43.000Z",
  "updated": "2007-03-07T13:21:43.000Z",
  "title": "Multiplication of solutions for linear overdetermined systems of partial differential equations",
  "authors": [
    "Jens Jonasson"
  ],
  "comment": "27 pages",
  "doi": "10.1016/j.geomphys.2008.03.008",
  "categories": [
    "math.AP"
  ],
  "abstract": "A large family of linear, usually overdetermined, systems of partial differential equations that admit a multiplication of solutions, i.e, a bi-linear and commutative mapping on the solution space, is studied. This family of PDE's contains the Cauchy-Riemann equations and the cofactor pair systems, included as special cases. The multiplication provides a method for generating, in a pure algebraic way, large classes of non-trivial solutions that can be constructed by forming convergent power series of trivial solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-07T13:21:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35F05",
      "35N10",
      "58J99"
    ],
    "keywords": [
      "partial differential equations",
      "linear overdetermined systems",
      "multiplication",
      "forming convergent power series",
      "cofactor pair systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Geometry and Physics",
      "year": 2008,
      "month": "Aug",
      "volume": 58,
      "number": 8,
      "pages": 1015
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JGP....58.1015J"
    }
  }
}