{
  "id": "1007.4526",
  "version": "v3",
  "published": "2010-07-26T18:07:06.000Z",
  "updated": "2010-12-14T19:29:59.000Z",
  "title": "A parabolic flow toward solutions of the optimal transportation problem on domains with boundary",
  "authors": [
    "Jun Kitagawa"
  ],
  "comment": "32 pages, minor typos fixed, \"strictly c-convex\" changed to \"locally, uniformly c-convex.\" To appear in J. Reine Angew. Math",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a parabolic version of the mass transport problem, and show that it converges to a solution of the original mass transport problem under suitable conditions on the cost function, and initial and target domains.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-12-14T19:29:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K61",
      "35K96"
    ],
    "keywords": [
      "optimal transportation problem",
      "parabolic flow",
      "original mass transport problem",
      "target domains",
      "parabolic version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4526K"
    }
  }
}