{
  "id": "2010.06170",
  "version": "v1",
  "published": "2020-10-12T12:52:13.000Z",
  "updated": "2020-10-12T12:52:13.000Z",
  "title": "Low regularity well-posedness for the Yang-Mills system in 2D",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "23 pages. arXiv admin note: substantial text overlap with arXiv:1911.05537, arXiv:1703.01949; text overlap with arXiv:1408.5363 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Cauchy problem for the Yang-Mills system in two space dimensions is treated for data with minimal regularity assumptions. In the classical case of data in $L^2$-based Sobolev spaces we have to assume that the number of derivatives is more than $3/4$ above the critical regularity with respect to scaling. For data in $L^r$-based Fourier-Lebesgue spaces this result can be improved by $1/4$ derivative in the sense of scaling as $r \\to 1$ .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-12T12:52:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "low regularity well-posedness",
      "yang-mills system",
      "minimal regularity assumptions",
      "space dimensions",
      "fourier-lebesgue spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}