Lipschitz 域中 Stokes 系统 Dirichlet-to-Neumann 映射的对易子估计
偏微分方程分析
2017-03-13 v1
摘要
文中建立了 Lipschitz 域中 Stokes 系统 Dirichlet-to-Neumann 映射的对易子估计。该方法基于 Dahlberg 的双线性估计，结果可视为 [Dahlberg, Poisson semigroups and singular integrals, Proc. Amer. Math. Soc., 97(1986), no.1, 41-48.] 和 [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.] 向 Stokes 系统的推广。
引用
@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}
}
备注
21pages