{
  "id": "2205.11497",
  "version": "v1",
  "published": "2022-05-23T17:52:50.000Z",
  "updated": "2022-05-23T17:52:50.000Z",
  "title": "Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation",
  "authors": [
    "Tristan Roy"
  ],
  "comment": "53 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "Consider the focusing energy-critical Klein-Gordon equation in dimension d=3,4,5. We describe the global dynamics of real-valued solutions of which the energy is slightly larger than that of the ground states'. We classify the flows of the solutions that are ejected from a small neighborhood of the ground states or that are away from them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-23T17:52:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state energy",
      "global dynamics",
      "focusing energy-critical klein-gordon equation",
      "small neighborhood",
      "real-valued solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}