{
  "id": "2108.13279",
  "version": "v1",
  "published": "2021-08-30T14:47:42.000Z",
  "updated": "2021-08-30T14:47:42.000Z",
  "title": "Local well-posedness for the Maxwell-Chern-Simons-Higgs system in Fourier-Lebesgue spaces",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "13 pages. arXiv admin note: substantial text overlap with arXiv:2010.06170, arXiv:2012.14239, arXiv:1411.1207",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider local well-posedness for the Maxwell-Chern-Simons-Higgs system in Lorenz gauge for data with minimal regularity assumptions in Fourier-Lebesgue spaces $\\widehat{H}^{s,r}$ , where $\\|u\\|_{\\widehat{H}^{s,r}} := \\| \\langle \\xi \\rangle^s \\widehat{u}(\\xi)\\|_{L^{r'}}$ , and $r$ and $r'$ are dual exponents. We show that the gap between this regularity and the regularity with respect to scaling shrinks in the case $r>1$ , $r \\to 1$ compared to the classical case $r=2$ .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-30T14:47:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "maxwell-chern-simons-higgs system",
      "fourier-lebesgue spaces",
      "local well-posedness",
      "minimal regularity assumptions",
      "dual exponents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}