{
  "id": "2404.12364",
  "version": "v1",
  "published": "2024-04-18T17:47:33.000Z",
  "updated": "2024-04-18T17:47:33.000Z",
  "title": "On the well-posedness of the KP-I equation",
  "authors": [
    "Zihua Guo",
    "Luc Molinet"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We revisit the local well-posedness for the KP-I equation. We obtain unconditional local well-posedness in $H^{s,0}({\\mathbb R}^2)$ for $s>3/4$ and unconditional global well-posedness in the energy space. We also prove the global existence of perturbations with finite energy of non decaying smooth global solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-18T17:47:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A02",
      "35E15",
      "35Q53",
      "35B45",
      "35D30"
    ],
    "keywords": [
      "kp-i equation",
      "non decaying smooth global solutions",
      "unconditional global well-posedness",
      "unconditional local well-posedness",
      "finite energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}