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

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.

16 pages

References in corpus (1)

• Convergence Rates in L^2 for Elliptic Homogenization Problems

Cited by in corpus (2)

• Sharp commutator estimates via harmonic extensions
• Boundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity