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Identification of small inhomogeneities: Asymptotic factorization

Identification of small inhomogeneities: Asymptotic factorization

We consider the boundary value problem of calculating the electrostatic potential for a homogeneous conductor containing finitely many small insulating inclusions. We give a new proof of the asymptotic expansion of the electrostatic potential in terms of the background potential, the location of the inhomogeneities and their geometry, as the …