{
  "id": "2406.01777",
  "version": "v1",
  "published": "2024-06-03T20:41:34.000Z",
  "updated": "2024-06-03T20:41:34.000Z",
  "title": "Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case",
  "authors": [
    "Ryunosuke Kusaba"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to the asymptotic expansions of global solutions to the convection-diffusion equation in the Fujita-subcritical case. We improve the result by Zuazua (1993) and establish higher order asymptotic expansions with decay estimates of the remainders. We also discuss the optimality for the decay rate of the remainder.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-03T20:41:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K58",
      "35B40",
      "35C20"
    ],
    "keywords": [
      "convection-diffusion equation",
      "fujita-subcritical case",
      "establish higher order asymptotic expansions",
      "global solutions",
      "decay estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}