{
  "id": "2302.00048",
  "version": "v1",
  "published": "2023-01-31T19:28:33.000Z",
  "updated": "2023-01-31T19:28:33.000Z",
  "title": "Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs",
  "authors": [
    "Aksel Bergfeldt",
    "Salvador Rodriguez-Lopez",
    "David Rule",
    "Wolfgang Staubach"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banach target spaces. As a consequence we also prove the (local in time) continuous dependence on the initial data for solutions of a large class of coupled systems of dispersive partial differential equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-31T19:28:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coupled systems",
      "dispersive pdes",
      "multilinear oscillatory integral operators",
      "quasi-banach target spaces",
      "dispersive partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}