{
  "id": "2407.19504",
  "version": "v1",
  "published": "2024-07-28T14:31:38.000Z",
  "updated": "2024-07-28T14:31:38.000Z",
  "title": "Quantitative comparison results for first-order Hamilton-Jacobi equations",
  "authors": [
    "Vincenzo Amato",
    "Luca Barbato"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove a quantitative version of the comparison result for solutions to first-order Hamilton-Jacobi equations proved in \\cite{GN}. The key role is played by quantitative versions of the P\\'olya-Szeg\\H o inequality and of the Hardy-Littlewood inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-28T14:31:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35F21",
      "35B35",
      "35B51"
    ],
    "keywords": [
      "first-order hamilton-jacobi equations",
      "quantitative comparison results",
      "quantitative version",
      "hardy-littlewood inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}