Carlos E. Kenig, Fanghua Lin, Zhongwei Shen
Published 2012-09-24Version 1
For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an $O(\epsilon)$ estimate in $H^1$ for solutions with Dirichlet condition.
Lectures on Periodic Homogenization of Elliptic Systems
Convergence Rates in Periodic Homogenization of Systems of Elasticity
Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
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