{
  "id": "1209.3446",
  "version": "v1",
  "published": "2012-09-15T23:07:58.000Z",
  "updated": "2012-09-15T23:07:58.000Z",
  "title": "Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system",
  "authors": [
    "Walid Abou Salem",
    "Thomas Chen",
    "Vitali Vougalter"
  ],
  "comment": "Latex, 25 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the stationary states of the semi-relativistic Schr\\\"odinger-Poisson system in the repulsive (plasma physics) Coulomb case. In particular, we establish the existence and the nonlinear stability of a wide class of stationary states by means of the energy-Casimir method. We generalize the global well-posedness result of our previous work for the semi-relativistic Schr\\\"odinger-Poisson system to spaces with higher regularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-15T23:07:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82D10",
      "82C10"
    ],
    "keywords": [
      "stationary states",
      "semi-relativistic schrödinger-poisson system",
      "nonlinear stability",
      "global well-posedness result",
      "coulomb case"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.3446A"
    }
  }
}