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arXiv · 1703.03554

Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains

Qiang Xu·Weiren Zhao·Shulin Zhou
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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.

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Qiang Xu, Weiren Zhao, Shulin Zhou. 2017-03-10. Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains. https://arxiv.org/abs/1703.03554

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