{
  "id": "math/0702362",
  "version": "v1",
  "published": "2007-02-13T11:45:35.000Z",
  "updated": "2007-02-13T11:45:35.000Z",
  "title": "Strichartz and smoothing estimates for dispersive equations with magnetic potentials",
  "authors": [
    "Piero D'Ancona",
    "Luca Fanelli"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We prove global smoothing and Strichartz estimates for the Schroedinger, wave, Klein-Gordon equations and for the massless and massive Dirac systems, perturbed with singular electromagnetic potentials. We impose a smallness condition on the magnetic part, while the electric part can be large. The decay and regularity assumptions on the coefficients are close to critical.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-13T11:45:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "58J45"
    ],
    "keywords": [
      "dispersive equations",
      "smoothing estimates",
      "singular electromagnetic potentials",
      "klein-gordon equations",
      "regularity assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2362D"
    }
  }
}