{
  "id": "1405.3052",
  "version": "v1",
  "published": "2014-05-13T07:38:08.000Z",
  "updated": "2014-05-13T07:38:08.000Z",
  "title": "Counterexamples to $ C^{\\infty} $ well posedness for some hyperbolic operators with triple characteristics",
  "authors": [
    "Enrico Bernardi",
    "Tatsuo Nishitani"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove that for a class of non-effectively hyperbolic operators with smooth triple characteristics the Cauchy problem is well posed in the Gevrey 2 class, beyond the generic Gevrey class $ 3/2 $ (see e.g. \\cite{Bro}). Moreover we show that this value is optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-13T07:38:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "counterexamples",
      "smooth triple characteristics",
      "generic gevrey class",
      "cauchy problem",
      "non-effectively hyperbolic operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.3052B"
    }
  }
}