{
  "id": "1804.00078",
  "version": "v2",
  "published": "2018-03-30T22:54:50.000Z",
  "updated": "2018-09-12T03:37:07.000Z",
  "title": "On global dynamics of the Maxwell-Klein-Gordon equations",
  "authors": [
    "Shiwu Yang",
    "Pin Yu"
  ],
  "comment": "48 pages! Comments are welcome!",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "On the three dimensional Euclidean space, for data with finite energy, it is well-known that the Maxwell-Klein-Gordon equations admit global solutions. However, the asymptotic behaviours of the solutions for the data with non-vanishing charge and arbitrary large size are unknown. It is conjectured that the solutions disperse as linear waves and enjoy the so-called peeling properties for pointwise estimates. We provide a gauge independent proof of the conjecture.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-09-12T03:37:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global dynamics",
      "maxwell-klein-gordon equations admit global solutions",
      "dimensional euclidean space",
      "gauge independent proof",
      "finite energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}