{
  "id": "2103.06582",
  "version": "v1",
  "published": "2021-03-11T10:21:57.000Z",
  "updated": "2021-03-11T10:21:57.000Z",
  "title": "On the maximum principle for the multi-term fractional transport equation",
  "authors": [
    "Yuri Luchko",
    "Anna Suzuki",
    "Masahiro Yamamoto"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove a maximum principle for the general multi-term space-time-fractional transport equation and apply it for establishing uniqueness of solution to an initial-boundary-value problem for this equation. We also derive some comparison principles for solutions to the initial-boundary-value problems with different problem data. Finally, we present a maximum principle for the Cauchy problem for a time-fractional transport equation on an unbounded domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-11T10:21:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "35A05",
      "35B30",
      "35B50",
      "35C05",
      "35E05",
      "35L05",
      "45K05",
      "60E99"
    ],
    "keywords": [
      "multi-term fractional transport equation",
      "maximum principle",
      "general multi-term space-time-fractional transport equation",
      "initial-boundary-value problem",
      "problem data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}