Commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains

Qiang Xu, Weiren Zhao, Shulin Zhou

Research output: Contribution to journalArticle

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 [8,21] to Stokes systems.

Original languageEnglish (US)
Pages (from-to)219-241
Number of pages23
JournalJournal of Mathematical Analysis and Applications
Volume458
Issue number1
DOIs
StatePublished - Feb 1 2018

Keywords

  • Commutator estimate
  • Dirichlet-to-Neumann map
  • Lipschitz domain
  • Stokes system

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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