{
  "id": "math/0606459",
  "version": "v1",
  "published": "2006-06-19T14:26:52.000Z",
  "updated": "2006-06-19T14:26:52.000Z",
  "title": "A KAM theorem with applications to partial equations of higher dimension",
  "authors": [
    "Xiaoping Yuan"
  ],
  "doi": "10.1007/s00220-007-0287-2",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The existence of lower dimensional KAM tori is shown for a class of nearly integrable Hamiltonian systems where the second Melnikov's conditions are eliminated. As a consequence, it is proved that there exist many invariant tori and thus quasi-periodic solutions for nonlinear wave equations, Schr\\\"odinger equations and other equations of higher spatial dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-19T14:26:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K55"
    ],
    "keywords": [
      "kam theorem",
      "higher dimension",
      "partial equations",
      "lower dimensional kam tori",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}