{
  "id": "2312.06044",
  "version": "v1",
  "published": "2023-12-11T00:24:01.000Z",
  "updated": "2023-12-11T00:24:01.000Z",
  "title": "On a scale of anisotropic Sobolev spaces",
  "authors": [
    "Subhasish Mukherjee",
    "Ian Tice"
  ],
  "comment": "17 pages, 1 figure",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We introduce a scale of anisotropic Sobolev spaces defined through a three-parameter family of Fourier multipliers and study their functional analytic properties. These spaces arise naturally in PDE when studying traveling wave solutions, and we give some simple applications of the spaces in this direction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-11T00:24:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "46J15",
      "35C07",
      "46F05",
      "46N20"
    ],
    "keywords": [
      "anisotropic sobolev spaces",
      "functional analytic properties",
      "fourier multipliers",
      "studying traveling wave solutions",
      "spaces arise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}