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math.AP2006
Optimal Estimates for the Electric Field in Two-Dimensions
H. Ammari, H. Kang, H. Lee +2
The purpose of this paper is to set out optimal gradient estimates for solutions to the isotropic conductivity problem in the presence of adjacent conductivity inclusions as the di…
math.AP2006
Asymptotic Analysis of High-Contrast Phononic Crystals and a Criterion for the Band-Gap Opening
H. Ammari, H. Kang, H. Lee
We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic cr…