Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains
Analysis of PDEs
2017-03-13 v1
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.
Keywords
Cite
@article{arxiv.1703.03554,
title = {Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains},
author = {Qiang Xu and Weiren Zhao and Shulin Zhou},
journal= {arXiv preprint arXiv:1703.03554},
year = {2017}
}
Comments
21pages