{
  "id": "1703.03554",
  "version": "v1",
  "published": "2017-03-10T06:23:59.000Z",
  "updated": "2017-03-10T06:23:59.000Z",
  "title": "Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains",
  "authors": [
    "Qiang Xu",
    "Weiren Zhao",
    "Shulin Zhou"
  ],
  "comment": "21pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In the paper, we establish commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains. The approach is based on Dahlberg's bilinear estimates, and the results may be regarded as an extension of [Dahlberg, Poisson semigroups and singular integrals, Proc. Amer. Math. Soc., 97(1986), no.1, 41-48.] and [Shen, Commutator estimates for the Dirichlet-to-Neumann map in Lipschitz domains, Some topics in harmonic analysis and applications, 369C384, Adv. Lect. Math. (ALM)34, Int. Press, Somerville, MA, 2016.] to Stokes systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-10T06:23:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet-to-neumann map",
      "stokes systems",
      "lipschitz domains",
      "dahlbergs bilinear estimates",
      "establish commutator estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}