{
  "id": "1001.5373",
  "version": "v1",
  "published": "2010-01-29T10:22:07.000Z",
  "updated": "2010-01-29T10:22:07.000Z",
  "title": "Finite-energy global well-posedness of the Maxwell-Klein-Gordon system in Lorenz gauge",
  "authors": [
    "Sigmund Selberg",
    "Achenef Tesfahun"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "It is known that the Maxwell-Klein-Gordon system (M-K-G), when written relative to the Coulomb gauge, is globally well-posed for finite-energy initial data. This result, due to Klainerman and Machedon, relies crucially on the null structure of the main bilinear terms of M-K-G in Coulomb gauge. It appears to have been believed that such a structure is not present in Lorenz gauge, but we prove here that it is, and we use this fact to prove finite-energy global well-posedness in Lorenz gauge. The latter has the advantage, compared to Coulomb gauge, of being Lorentz invariant, hence M-K-G in Lorenz gauge is a system of nonlinear wave equations, whereas in Coulomb gauge the system has a less symmetric form, as it contains also a nonlinear elliptic equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-29T10:22:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "finite-energy global well-posedness",
      "lorenz gauge",
      "maxwell-klein-gordon system",
      "coulomb gauge",
      "finite-energy initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.5373S"
    }
  }
}