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Summary: Properties of the Generalized Polarization Tensors
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
March 26, 2002
Abstract
Generalized polarization tensors are employed for the derivation of full
asymptotic expansions of the perturbations in the steady-state voltage poten-
tials that are due to the presence of dielectric inhomogeneities of small diameter.
In this paper we investigate some important properties of these GPTs such as
symmetry, positivity, and their relations to the Dirichlet-to-Neumann map and
weighted volume.
Mathematics subject classi cation (MSC2000): 35R30
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