{
  "id": "math/0310271",
  "version": "v2",
  "published": "2003-10-17T14:38:57.000Z",
  "updated": "2012-06-24T13:26:52.000Z",
  "title": "Cauchy Problem for Fractional Diffusion Equations",
  "authors": [
    "Samuil D. Eidelman",
    "Anatoly N. Kochubei"
  ],
  "comment": "Version 2 contains a correction (formula 4.14) as compared with the published text",
  "journal": "J. Diff. Equat. 199 (2004), 211-255",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider an evolution equation with the regularized fractional derivative of an order $\\alpha \\in (0,1)$ with respect to the time variable, and a uniformly elliptic operator with variable coefficients acting in the spatial variables. Such equations describe diffusion on inhomogeneous fractals. A fundamental solution of the Cauchy problem is constructed and investigated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-24T13:26:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "35K15",
      "35S99"
    ],
    "keywords": [
      "fractional diffusion equations",
      "cauchy problem",
      "fundamental solution",
      "uniformly elliptic operator",
      "spatial variables"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}