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

Qiang Xu; Weiren Zhao; Shulin Zhou

doi:10.1016/j.jmaa.2017.08.061

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

Qiang Xu, Weiren Zhao, Shulin Zhou

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	219-241
Number of pages	23
Journal	Journal of Mathematical Analysis and Applications
Volume	458
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.08.061
State	Published - 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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10.1016/j.jmaa.2017.08.061

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title = "Commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains",

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.",

keywords = "Commutator estimate, Dirichlet-to-Neumann map, Lipschitz domain, Stokes system",

author = "Qiang Xu and Weiren Zhao and Shulin Zhou",

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AU - Zhao, Weiren

AU - Zhou, Shulin

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N2 - 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.

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KW - Dirichlet-to-Neumann map

KW - Lipschitz domain

KW - Stokes system

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

Abstract

Keywords

ASJC Scopus subject areas

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