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Summary: Gradient Estimates for Solutions to the Conductivity
Problem
Habib Ammari
Centre de Mathematiques Appliquees
Ecole Polytechnique
91128 Palaiseau Cedex, France
ammari@cmapx.polytechnique.fr
Hyeonbae Kang y
School of Mathematical Sciences
Seoul National University
Seoul 151-747, Korea
hkang@math.snu.ac.kr
Mikyoung Lim z
Centre de Mathematiques Appliquees
Ecole Polytechnique
91128 Palaiseau Cedex, France
lim@cmapx.polytechnique.fr
Abstract
In this paper we derive very precise gradient estimates for solutions to the conduc-
tivity problem in the case where two circular conductivity inclusions are very close but
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