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

2013/08/28 by Zhongwei Shen, Shen, Zhongwei
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #math.AP #msc:35J57

paper · pdf · doi:10.48550/arxiv.1308.6226

16 pages

arxiv created 2013/08/28 · arxiv updated 2013/08/29

Abstract

We establish two commutator estimates for the Dirichlet-to-Neumann map associated with a second-order elliptic system in divergence form in Lipschitz domains. Our approach is based on Dahlberg's bilinear estimates.

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