{
  "id": "1512.05197",
  "version": "v1",
  "published": "2015-12-16T15:03:07.000Z",
  "updated": "2015-12-16T15:03:07.000Z",
  "title": "Low regularity solutions for the (2+1) - dimensional Maxwell-Klein-Gordon equations in temporal gauge",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Maxwell-Klein-Gordon equations in 2+1 dimensions in temporal gauge are locally well-posed for low regularity data even below energy level. The corresponding (3+1)-dimensional case was considered by Yuan. Fundamental for the proof is a partial null structure in the nonlinearity which allows to rely on bilinear estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg, on an $(L^p_x L^q_t)$ - estimate for the solution of the wave equation, and on the proof of a related result for the Yang-Mills equations by Tao.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-16T15:03:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "dimensional maxwell-klein-gordon equations",
      "low regularity solutions",
      "temporal gauge",
      "low regularity data",
      "partial null structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151205197P",
      "inspire": 1410647
    }
  }
}